32801328 has 80 divisors (see below), whose sum is σ = 107612160. Its totient is φ = 9370944.

The previous prime is 32801311. The next prime is 32801339. The reversal of 32801328 is 82310823.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400 + ... + 8447.

It is an arithmetic number, because the mean of its divisors is an integer number (1345152).

Almost surely, 2^32801328 is an apocalyptic number.

It is an amenable number.

32801328 is an abundant number, since it is smaller than the sum of its proper divisors (74810832).

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

32801328 is a wasteful number, since it uses less digits than its factorization.

32801328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10871 (or 10859 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 32801328 is about 5727.2443635661. The cubic root of 32801328 is about 320.1084528229.

The spelling of 32801328 in words is "thirty-two million, eight hundred one thousand, three hundred twenty-eight".