328364506800 has 900 divisors, whose sum is σ = 1323256384296. Its totient is φ = 77336985600.

The previous prime is 328364506787. The next prime is 328364506819. The reversal of 328364506800 is 8605463823.

It is a happy number.

328364506800 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 64 + 506 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

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 179 ways as a sum of consecutive naturals, for example, 487911264 + ... + 487911936.

Almost surely, 2^328364506800 is an apocalyptic number.

328364506800 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 328364506800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661628192148).

328364506800 is an abundant number, since it is smaller than the sum of its proper divisors (994891877496).

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

328364506800 is a wasteful number, since it uses less digits than its factorization.

328364506800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 328364506800 in words is "three hundred twenty-eight billion, three hundred sixty-four million, five hundred six thousand, eight hundred".