32528256 has 128 divisors (see below), whose sum is σ = 94003200. Its totient is φ = 9934848.

The previous prime is 32528231. The next prime is 32528261. The reversal of 32528256 is 65282523.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256065 + ... + 256191.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 2^32528256 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 32528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001600).

32528256 is an abundant number, since it is smaller than the sum of its proper divisors (61474944).

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

32528256 is a wasteful number, since it uses less digits than its factorization.

32528256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 184 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 32528256 is about 5703.3548022195. The cubic root of 32528256 is about 319.2176722774.

The spelling of 32528256 in words is "thirty-two million, five hundred twenty-eight thousand, two hundred fifty-six".