328733672400 has 300 divisors, whose sum is σ = 1348342382112. Its totient is φ = 75139073280.

The previous prime is 328733672383. The next prime is 328733672401. The reversal of 328733672400 is 4276337823.

328733672400 is a `hidden beast` number, since 3 + 287 + 3 + 367 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328733672401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 497922 + ... + 951521.

Almost surely, 2^328733672400 is an apocalyptic number.

328733672400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328733672400 is an abundant number, since it is smaller than the sum of its proper divisors (1019608709712).

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

328733672400 is a wasteful number, since it uses less digits than its factorization.

328733672400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449480 (or 1449460 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 328733672400 in words is "three hundred twenty-eight billion, seven hundred thirty-three million, six hundred seventy-two thousand, four hundred".