328832056080 has 640 divisors, whose sum is σ = 1342656921600. Its totient is φ = 73081958400.

The previous prime is 328832056043. The next prime is 328832056097. The reversal of 328832056080 is 80650238823.

328832056080 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 3 + 2 + 0 + 560 + 80 = 666.

It is a super-2 number, since 2×328832056080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13982892 + ... + 14006388.

It is an arithmetic number, because the mean of its divisors is an integer number (2097901440).

Almost surely, 2^328832056080 is an apocalyptic number.

328832056080 is a gapful number since it is divisible by the number (30) 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 328832056080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671328460800).

328832056080 is an abundant number, since it is smaller than the sum of its proper divisors (1013824865520).

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

328832056080 is a wasteful number, since it uses less digits than its factorization.

328832056080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23580 (or 23568 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 328832056080 in words is "three hundred twenty-eight billion, eight hundred thirty-two million, fifty-six thousand, eighty".