Editor's note (April 9): This piece has been updated with the most recent projections for the 2017 NBA draft order, reflecting new rankings and picks.
Which teams will have the best collection of draft picks this year? How will the full draft order shake out?
After using ESPN's Basketball Power Index (BPI) -- factoring in all the trades and pick swaps -- as well as ESPN Insider Kevin Pelton's NBA draft trade value chart, here's the most likely draft order and how each team ranks, given their total haul.
1. Sacramento Kings

Likely picks:
No. 7 (top-10 protected, with swap rights)
No. 10 (via Pelicans, top-three protected)
No. 35 (via Sixers)
No. 37 (protected 31-55 or goes to Magic)
Total draft value: 5,460
Sacramento's pick has a 99.7 percent of staying in the top 10, per BPI, which would keep it from heading to the Chicago Bulls, though that also opens up the possibility for a pick swap with Philly inside the top 10. BPI gives the Pelicans 5.1 percent odds to land in the top three (keeping their pick), but luckily for the Kings, the New Orleans pick has a 94.1 percent chance of being top 10.
At worst, Sacramento should get a shot to draft one of the second-tier point guards after Markelle Fultz and Lonzo Ball are off the board. At best, the Kings could jump into the top three and have another top-10 pick from the Pelicans (let's hope, for their fans' sake, that they don't draft another shooting guard).
2. Orlando Magic

Likely picks:
No. 4
No. 25 (via worse of Clippers and Raptors)
No. 33 (via Lakers)
No. 34
Total draft value: 5,120
Traded pick unlikely to be conveyed: Kings' second-rounder (protected 31-55, 0 percent chance to convey)
This might be time for Orlando to look elsewhere at the point guard position and use a top-five pick to add whomever is left of Fultz, Ball and Dennis Smith.
The Magic will also get the Lakers' second-rounder (and a 2018 second) if L.A. keeps its top-3 protected first-rounder, though that means Orlando won't get L.A.'s 2019 unprotected first-rounder.
3. Boston Celtics

Likely picks:
No. 1 (via Nets)
No. 38 (via Wolves)
No. 55 (via Clippers)
No. 57 (via Cavs)
Total draft value: 4,860
It's merely a formality at this point that Boston will swap picks with Brooklyn. The question is where the pick will fall in the lottery. BPI gives the Celtics a 25 percent chance at No. 1 and a 64.3 percent chance at a top-three slot.
A pick in the 31-40 range has a chance to become a solid player, but I wouldn't be surprised if Danny Ainge packaged those three second-round picks into something better. With the Wolves falling as of late, their second-round pick that Boston receives has crept up into the high 30s. That gives the Celtics a chance to land a solid steal of a pick and adds to the value of Boston's' draft picks this year.
4. Philadelphia 76ers

Likely picks:
No. 5 (can swap top-10 picks with Kings)
No. 36 (via Knicks)
No. 39 (via Mavs)
No. 44 (via Heat, goes to Grizzlies if 31-40)
No. 49 (via Hawks)
Total draft value: 4,260
Traded pick unlikely to be conveyed: Mavericks' first-rounder (top-18 protected, 0 percent chance to convey)
Although the first-rounder from Dallas isn't happening, Philadelphia still has a 51.5 chance to snag the Lakers' pick. The pick swap with Sacramento is a nice security blanket, ensuring the Sixers' pick should be high in the lottery.
As always, expect them to make moves before, during and after the draft.
5. Phoenix Suns

Likely picks:
No. 2
No. 32 (protected 31-55 or goes to Hawks)
No. 54 (via Raptors)
Total draft value: 4,140
Given the saturation at the point guard spot and the likelihood that Phoenix's first-round pick will fall in the top five (99.3 percent chance, per BPI), expect the Suns to go after Josh Jackson or Jayson Tatum.
Their point guards might be a bit beyond the age of their young core, but Eric Bledsoe is in his prime and has two more years on his deal.
6. Portland Trail Blazers

Likely picks:
No. 16
No. 20 (via Grizzlies)
No. 27 (via Cavs)
Total draft value: 4,070
The Blazers are up to a 97.9 percent chance to make the playoffs, though their total draft value hasn't changed much with their slight rise in the standings. Ideally, Portland can at least scare Golden State for a game or two and head into the offseason with a nice collection of first-rounders.
7. Los Angeles Lakers

Likely picks:
No. 3 (top-three protected or goes to Sixers)
No. 28 (via Rockets)
No. 33 (goes to Magic if L.A. keeps first-rounder)
Total draft value: 3,930 (if L.A. keeps its first-rounder and loses its second-rounder)
Yes, the Lakers have a big reason to tank and secure a top-three pick. They also made a nice move at the deadline in grabbing Houston's first-rounder in exchange for Lou Williams, somebody who doesn't match the timeline of their young core (neither do Timofey Mozgov and Luol Deng, but oh well).
8. New York Knicks

Likely picks:
No. 6
No. 45 (via Bulls)
No. 58 (via Rockets)
Total draft value: 2,880
The Knicks need to add at least one rotation player from this draft. With a pick in the top 10 that has a 21.1 percent chance of going top five, they should have a good shot to do so.
9. Utah Jazz

Likely picks:
No. 23
No. 30 (via Warriors)
No. 42 (via Pistons)
No. 53
Total draft value: 2,850
What Gordon Hayward does in free agency dictates everything for Utah, but regardless, the Jazz will have roster spots to fill with Shelvin Mack and Jeff Withey likely not being re-signed.
Collectively, their picks add up to about a top-four pick by Pelton's trade chart.
10. Brooklyn Nets

Likely picks:
No. 22 (via Wizards, lottery protected)
No. 26 (via Celtics)
No. 56 (via Celtics, protected 31-45)
Total draft value: 2,600
Traded pick unlikely to be conveyed: Pacers' second-rounder (protected 45-60, 19.1 percent chance to convey)
Brooklyn has a decent set of picks, even after the swap with Boston. Between the Wizards and Celtics, the Nets should have two picks in the 20s.
If I were them, I would pull a Bill Belichick and try to turn those two low first-rounders into even more picks, potentially in the coveted 31-40 range.
11. Charlotte Hornets

Likely picks:
No. 11
No. 41 (protected 31-55 or goes to Cavs)
Total draft value: 2,390
Charlotte is out of the playoff hunt but has pretty slim odds of rising in the lottery (0.8 percent chance at the No. 1 pick and 2.8 percent at top three).
12. Denver Nuggets

Likely picks:
No. 13
No. 50 (via Grizzlies, protected 31-35)
No. 51 (via Thunder, protected 31-35)
Total draft value: 2,280
The Nuggets' playoff chances are down to 2.1 percent. Neither of those second-round picks will be too valuable, so that first-rounder will be super important.
13. Atlanta Hawks

Likely picks:
No. 19
No. 31 (via Nets)
No. 60 (via Warriors)
Total draft value: 2,260
Traded pick unlikely to be conveyed: Suns' second-rounder (protected 31-55, 0 percent chance to convey)
Atlanta picks up a coveted pick in the 31-35 range, in which contracts are not guaranteed and teams have more leverage.
With only eight guys under contract next year (and Paul Millsap's player option), Atlanta can use these picks to help fill out the roster.
14. Minnesota Timberwolves

Likely picks:
No. 8
Total draft value: 2,200
Traded pick unlikely to be conveyed: Pelicans' second-rounder (protected 31-55, 0 percent chance to convey)
Minnesota is almost guaranteed to stay in the top 10 (99.5 percent chance) and has 11.8 percent odds of jumping into the top three.
Given that a lot of their core is around the age of a college senior, the Wolves could get away with drafting an older guy.
15. Dallas Mavericks

Likely picks:
No. 9 (top-18 protected or goes to Sixers)
Total draft value: 2,120
Dallas' first-round pick has a 7.2 percent chance of being top-three after the lottery draw, according to BPI. If it stays around No. 9, trading up or down in hopes of acquiring a shooting guard could make a lot of sense for the Mavs.
16. Indiana Pacers

Likely picks:
No. 17
No. 47 (protected 45-60 or goes to Brooklyn)
Total draft value: 1,860
The Pacers will lose their second-round pick to the Nets if they don't make the playoffs. BPI projects an 80.9 percent chance that they keep it.
In the three-team race for the last two East playoff spots, the Heat have one of the league's toughest strength of schedules remaining while the Pacers and Bulls have the two easiest. Although the Pacers have slowly dropped in performance lately, there's at least a potential Lance Stephenson vs. LeBron James rematch to look forward to now.
Regardless, the difference between the back of the lottery and just outside of it is pretty negligible in terms of overall value.
17. Detroit Pistons

Likely picks:
No. 12
Total draft value: 1,840
Back in mid-March, Detroit had a 63.2 percent chance to make the postseason, according to BPI. The Pistons are now officially eliminated from the playoffs.
While chemistry issues may have been exacerbated over the last month or so, their first-round pick is now projected to be No. 12. Maybe it's time to move on from Reggie Jackson and draft a point guard like Frank Ntilikina?
18. Milwaukee Bucks

Likely picks:
No. 18
No. 48
Total draft value: 1,800
A few weeks ago, the Bucks had a 54.7 percent chance to make the playoffs, according to BPI. They've officially clinched their spot in the postseason now, with a 66.8 percent chance to be the No. 6 seed.
The Bucks are in a good spot and won't have any glaring needs in the draft. With Giannis Antetokounmpo taking a leap, a young roster and another solid first-round pick coming up, Milwaukee is one of the better positioned Eastern Conference teams.
19. Miami Heat

Likely picks:
No. 14
Total draft value: 1,690
Regardless of whether Miami sneaks into the playoffs after an unbelievable run in the second half of the season (34.4 percent chance), their first-round pick should be in that 12-18 range (98.7 percent chance, per BPI).
Any prospect who ends up in Miami can expect a nice, little bump in value under Erik Spoelstra's watch.
20. Chicago Bulls

Likely picks:
No. 15
Total draft value: 1,630
Traded pick unlikely to be conveyed: Kings' first-rounder (top-10 protected, 0.3 percent chance to convey)
The dream of landing Sacramento's pick pretty much faded after the DeMarcus Cousins trade.
I don't expect much from Chicago in this year's draft and wouldn't be surprised if the Bulls deal their pick.
21. Oklahoma City Thunder

Likely picks:
No. 21
Total draft value: 1,340
The Thunder have clinched a spot in the playoffs and should pick in the 20-22 range.
A guy such as Terrance Ferguson or OG Anunoby would definitely help them on the perimeter.
22. Toronto Raptors

Likely picks:
No. 24
Total draft value: 1,210
Although Toronto might not exactly deserve championship-contender status anymore, the Raptors at least kept the cupboard filled with a pick in the early 20s.
23. San Antonio Spurs

Likely picks:
No. 29
No. 59
Total draft value: 1,120
Traded pick unlikely to be conveyed: Hawks' second-rounder (protected 31-55, 0 percent chance to convey)
The Spurs are Spursing. Unlike other championship contenders, they still have their original picks.
An undervalued guy -- maybe Caleb Swanigan or Luke Kennard -- would fit well at the end of the first round. Knowing the Spurs, whoever they take will turn into at least a nice rotation piece.
24. Houston Rockets

Likely picks:
No. 43 (via Nuggets)
No. 46 (via Blazers)
Total draft value: 760
Although a couple of mid-second-rounders isn't nothing, the odds are low that a rotation guy will be available.
Houston is in win-now mode, but I wouldn't be surprised if Daryl Morey has some more moves up his sleeve on draft night.
25. New Orleans Pelicans

Likely picks:
No. 40 (protected 31-55 or goes to Wolves)
Total draft value: 480
The Pelicans have a 5.1 percent chance of keeping their pick inside the top three.
With Jrue Holiday hitting free agency and not many keepers on the roster around Anthony Davis, New Orleans should see what it can get for DeMarcus Cousins around the draft. He has only one year left on his deal before hitting unrestricted free agency.
26. Washington Wizards

Likely picks:
No. 52
Total draft value: 240
You can safely say the Wizards are giving Brooklyn their lottery-protected first-round pick. A pick in the 50s isn't going to move the needle much and will likely be a draft-and-stash.
Teams unlikely to have any picks
Memphis Grizzlies: Memphis will get Miami's second-rounder if it falls between 31 and 40. With the Heat still pushing for a playoff spot, that looks unlikely.
LA Clippers: The Clippers would've kept their first-rounder if it fell in the lottery.
Golden State Warriors and Cleveland Cavaliers: Both teams from the past two NBA Finals won't have a pick in the draft unless they trade for one.
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