328831489564200 has 1152 divisors, whose sum is σ = 1358941147200000. Its totient is φ = 71085526364160.

The previous prime is 328831489564189. The next prime is 328831489564273. The reversal of 328831489564200 is 2465984138823.

328831489564200 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 3 + 1 + 48 + 9 + 564 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1263687706 + ... + 1263947894.

It is an arithmetic number, because the mean of its divisors is an integer number (1179636412500).

Almost surely, 2^{328831489564200} is an apocalyptic number.

328831489564200 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 328831489564200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679470573600000).

328831489564200 is an abundant number, since it is smaller than the sum of its proper divisors (1030109657635800).

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

328831489564200 is a wasteful number, since it uses less digits than its factorization.

328831489564200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260344 (or 260318 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 328831489564200 in words is "three hundred twenty-eight trillion, eight hundred thirty-one billion, four hundred eighty-nine million, five hundred sixty-four thousand, two hundred".