82880032 has 48 divisors (see below), whose sum is σ = 174236832. Its totient is φ = 38671360.

The previous prime is 82880027. The next prime is 82880069. The reversal of 82880032 is 23008828.

It is a junction number, because it is equal to n+sod(n) for n = 82879976 and 82880003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70683 + ... + 71845.

It is an arithmetic number, because the mean of its divisors is an integer number (3629934).

Almost surely, 2^82880032 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 82880032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87118416).

82880032 is an abundant number, since it is smaller than the sum of its proper divisors (91356800).

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

82880032 is a wasteful number, since it uses less digits than its factorization.

82880032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 82880032 is about 9103.8470988918. The cubic root of 82880032 is about 435.9968015926.

The spelling of 82880032 in words is "eighty-two million, eight hundred eighty thousand, thirty-two".