32396928 has 64 divisors (see below), whose sum is σ = 86659200. Its totient is φ = 10723328.

The previous prime is 32396927. The next prime is 32396963. The reversal of 32396928 is 82969323.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 32396928.

It is not an unprimeable number, because it can be changed into a prime (32396927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91600 + ... + 91952.

It is an arithmetic number, because the mean of its divisors is an integer number (1354050).

Almost surely, 2^32396928 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 32396928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43329600).

32396928 is an abundant number, since it is smaller than the sum of its proper divisors (54262272).

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

32396928 is a wasteful number, since it uses less digits than its factorization.

32396928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 597 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 32396928 is about 5691.8299342127. The cubic root of 32396928 is about 318.7874948588.

The spelling of 32396928 in words is "thirty-two million, three hundred ninety-six thousand, nine hundred twenty-eight".