32882512032 has 192 divisors, whose sum is σ = 101698934400. Its totient is φ = 10307450880.

The previous prime is 32882512027. The next prime is 32882512043. The reversal of 32882512032 is 23021528823.

It is a happy number.

32882512032 is a `hidden beast` number, since 32 + 8 + 82 + 512 + 0 + 32 = 666.

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

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, 2241682 + ... + 2256302.

It is an arithmetic number, because the mean of its divisors is an integer number (529681950).

Almost surely, 2^32882512032 is an apocalyptic number.

32882512032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32882512032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50849467200).

32882512032 is an abundant number, since it is smaller than the sum of its proper divisors (68816422368).

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

32882512032 is a wasteful number, since it uses less digits than its factorization.

32882512032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14796 (or 14782 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 32882512032 in words is "thirty-two billion, eight hundred eighty-two million, five hundred twelve thousand, thirty-two".