ATP + H(+) + sulfate = adenosine 5'-phosphosulfate + diphosphate Sulfur metabolism; hydrogen sulfide biosynthesis; sulfite from sulfate: step 1/3. Up-regulated by sulfur starvation and repressed by cysteine. Also induced by O-acetyl-L-serine (OAS), a direct precursor of cysteine, maybe via inactivation of a putative transcriptional repressor of the cysH operon whose activity is controlled by the intracellular levels of OAS. Belongs to the sulfate adenylyltransferase family.