This rough sound-absorbing finish is often used in new construction and remodeling. While it is relatively cheap and quick to apply, spray-on acoustic finishes cannot be cleaned. When the ceiling becomes dirty, the best thing to do is to vacuum it using a brush attachment, and then respray it.
Vinyl-coated ceiling tile can be cleaned with an all-purpose cleaning solution. Nonwashable tiles can be spot-cleaned with special products available at hardware stores. When an overall cleaning is needed, the tiles may be painted. There's no need for special paint.
Decorative plaster ceilings -- as opposed to flat, painted plaster ceilings -- are really not cleanable because of the unpainted surface and deep texture. When a plaster ceiling becomes dirty, the best treatment is to vacuum it carefully, using a brush attachment.
Now we move on to walls, which are tougher to maintain because they generally take more abuse.