82802732032 has 352 divisors, whose sum is σ = 193179156480. Its totient is φ = 35254517760.

The previous prime is 82802732027. The next prime is 82802732053. The reversal of 82802732032 is 23023720828.

It is a junction number, because it is equal to n+sod(n) for n = 82802731982 and 82802732000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651989953 + ... + 651990079.

Almost surely, 2^82802732032 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 82802732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96589578240).

82802732032 is an abundant number, since it is smaller than the sum of its proper divisors (110376424448).

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

82802732032 is a wasteful number, since it uses less digits than its factorization.

82802732032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The spelling of 82802732032 in words is "eighty-two billion, eight hundred two million, seven hundred thirty-two thousand, thirty-two".