328204312800 has 864 divisors, whose sum is σ = 1408878576000. Its totient is φ = 65597091840.

The previous prime is 328204312789. The next prime is 328204312823. The reversal of 328204312800 is 8213402823.

328204312800 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29041551 + ... + 29052849.

It is an arithmetic number, because the mean of its divisors is an integer number (1630646500).

Almost surely, 2^328204312800 is an apocalyptic number.

328204312800 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 328204312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704439288000).

328204312800 is an abundant number, since it is smaller than the sum of its proper divisors (1080674263200).

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

328204312800 is a wasteful number, since it uses less digits than its factorization.

328204312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11348 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 328204312800 in words is "three hundred twenty-eight billion, two hundred four million, three hundred twelve thousand, eight hundred".