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.
Florida State's student government has passed a resolution discouraging Seminoles fans from wearing Native American headdresses at games.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.