328894202400 has 288 divisors, whose sum is σ = 1106137202688. Its totient is φ = 84795110400.

The previous prime is 328894202393. The next prime is 328894202411. The reversal of 328894202400 is 4202498823.

It is a happy 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, 149022097 + ... + 149024303.

It is an arithmetic number, because the mean of its divisors is an integer number (3840754176).

Almost surely, 2^328894202400 is an apocalyptic number.

328894202400 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 328894202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553068601344).

328894202400 is an abundant number, since it is smaller than the sum of its proper divisors (777243000288).

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

328894202400 is a wasteful number, since it uses less digits than its factorization.

328894202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 328894202400 in words is "three hundred twenty-eight billion, eight hundred ninety-four million, two hundred two thousand, four hundred".