The limiting factor will be tire clearance. Check the brakes, the fork, the chain stays and the down tube for clearance. Recent bikes are more likely to have room for larger tires, like 28c.

My previous Orbea barely fit 25c at the front brakes and fork. I picked up some sand on a wet road and heard it "zing" there, and had a few superficial scratches afterward.

Choosing
Lightweight riders can get by with narrower tires.

For rough roads, like chip-seal, the correct air pressure and nice tires with flexible sidewalls will help smooth the ride.

For me, good 25c tires are fine on all but the roughest roads.

Wider tires of the same brand will have lower rolling resistance, but it's a fairly subtle difference. I'm looking for a comfortable ride more than saving watts. The good tires, like GP4000S, will have good rolling resistance and smooth the ride, too.

The puncture resistant tires have a stiffer ride, but few flats.