328315002624 has 432 divisors, whose sum is σ = 1132793303040. Its totient is φ = 93522401280.

The previous prime is 328315002583. The next prime is 328315002661. The reversal of 328315002624 is 426200513823.

328315002624 is a `hidden beast` number, since 3 + 28 + 3 + 1 + 5 + 0 + 0 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129716239 + ... + 129718769.

It is an arithmetic number, because the mean of its divisors is an integer number (2622206720).

Almost surely, 2^328315002624 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 328315002624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566396651520).

328315002624 is an abundant number, since it is smaller than the sum of its proper divisors (804478300416).

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

328315002624 is a wasteful number, since it uses less digits than its factorization.

328315002624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 328315002624 in words is "three hundred twenty-eight billion, three hundred fifteen million, two thousand, six hundred twenty-four".