328925318400 has 1620 divisors, whose sum is σ = 1478880783072. Its totient is φ = 71786373120.

The previous prime is 328925318287. The next prime is 328925318413. The reversal of 328925318400 is 4813529823.

328925318400 is a `hidden beast` number, since 3 + 28 + 92 + 531 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 584236519 + ... + 584237081.

Almost surely, 2^328925318400 is an apocalyptic number.

328925318400 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 328925318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739440391536).

328925318400 is an abundant number, since it is smaller than the sum of its proper divisors (1149955464672).

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

328925318400 is a wasteful number, since it uses less digits than its factorization.

328925318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 328925318400 in words is "three hundred twenty-eight billion, nine hundred twenty-five million, three hundred eighteen thousand, four hundred".