The Great Danes (11-3) never trailed after Iati's first of two 3-pointers in a span of less than a minute gave them a 28-25 lead with 15:18 remaining.
The Bears (4-7) stayed close, never falling behind by more than eight the rest of the way, then got within a point, 49-48, at the 3-minute mark after a 3-pointer and a layup by Tucker Halpern.
Black made 1 of 2 free throws and Devlin a pair to make it 52-48. After another Halpern layup, Devlin hit two more and Black another pair for a 56-50 lead with 38 seconds left.
Devlin finished with 15 points and Black 14.
Halpern scored 18 points and Matt Sullivan 16 for Brown.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.