42105728 has 32 divisors (see below), whose sum is σ = 95867760. Its totient is φ = 18044928.

The previous prime is 42105727. The next prime is 42105731. The reversal of 42105728 is 82750124.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42105728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22601 + ... + 24392.

Almost surely, 2^42105728 is an apocalyptic number.

It is an amenable number.

42105728 is an abundant number, since it is smaller than the sum of its proper divisors (53762032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42105728 is an equidigital number, since it uses as much as digits as its factorization.

42105728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47014 (or 47002 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 42105728 is about 6488.8926636214. The cubic root of 42105728 is about 347.8940973388.

The spelling of 42105728 in words is "forty-two million, one hundred five thousand, seven hundred twenty-eight".