32564928 has 112 divisors (see below), whose sum is σ = 99633024. Its totient is φ = 9277440.

The previous prime is 32564893. The next prime is 32564929. The reversal of 32564928 is 82946523.

It is a happy number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (32564929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35451 + ... + 36357.

Almost surely, 2^32564928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32564928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49816512).

32564928 is an abundant number, since it is smaller than the sum of its proper divisors (67068096).

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

32564928 is a wasteful number, since it uses less digits than its factorization.

32564928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 940 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 32564928 is about 5706.5688465136. The cubic root of 32564928 is about 319.3375880621.

The spelling of 32564928 in words is "thirty-two million, five hundred sixty-four thousand, nine hundred twenty-eight".