Please, get the "sweaty feet" idea out of you heads. Dogs, cats, humans, horses, etc have two types of sweat glands: merocrine that open directly onto the surface of the skin and apocrine that open into hair follicles. Domestic animals have apocrine glands all over their bodies and the merocrine ones only on the pads of their feet. Humans have the merocrine ones all over the body and the apocrine ones restricted to armpits, nipples and and pubic region. Profuse sweating can be done through either type. Dogs and cats do not cool themselves by sweating.
Smelly feet are more likely due to yeast over growth. Look at your dogs feet, is there a thick yellow crust? Is he licking them excesivly? Is the hair turning a reddish brown? Sometimes all you see is an accumulation of gunk on the nail bed. If your dog is having any of these, he may have a problem with yeast. Unfortunately, this is often secondary to allergies. Does he have any other skin issues? Waxy ears? Impacted anal glands? All possible indications of allergies. Dogs and cat show allergies in their skin (as opposed to respiratory in humans) and the outer ear and anal glands are just extensions of the skin. If any of these issues are going on, have your dog checked by a vet. Your dog really shouldn't have stinky feet unless he just stepped in something.
What type of dog do you have? Sometimes trimming the hair between the toes helps. Also keep the paws clean and dry.