82328832 has 144 divisors (see below), whose sum is σ = 250022080. Its totient is φ = 26707968.

The previous prime is 82328821. The next prime is 82328867. The reversal of 82328832 is 23882328.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 297078 + ... + 297354.

Almost surely, 2^82328832 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 82328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125011040).

82328832 is an abundant number, since it is smaller than the sum of its proper divisors (167693248).

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

82328832 is a wasteful number, since it uses less digits than its factorization.

82328832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 82328832 is about 9073.5236815694. The cubic root of 82328832 is about 435.0281075774.

The spelling of 82328832 in words is "eighty-two million, three hundred twenty-eight thousand, eight hundred thirty-two".