328804932456 has 864 divisors, whose sum is σ = 1236800728800. Its totient is φ = 78157094400.

The previous prime is 328804932433. The next prime is 328804932479. The reversal of 328804932456 is 654239408823.

328804932456 is a `hidden beast` number, since 3 + 2 + 8 + 80 + 493 + 24 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (328804932433) and next prime (328804932479).

It is a super-2 number, since 2×328804932456² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 993368211 + ... + 993368541.

It is an arithmetic number, because the mean of its divisors is an integer number (1431482325).

Almost surely, 2^328804932456 is an apocalyptic number.

328804932456 is a gapful number since it is divisible by the number (36) 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 328804932456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618400364400).

328804932456 is an abundant number, since it is smaller than the sum of its proper divisors (907995796344).

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

328804932456 is a wasteful number, since it uses less digits than its factorization.

328804932456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 328804932456 in words is "three hundred twenty-eight billion, eight hundred four million, nine hundred thirty-two thousand, four hundred fifty-six".