328876800 has 216 divisors, whose sum is σ = 1240920576. Its totient is φ = 75141120.

The previous prime is 328876783. The next prime is 328876817. The reversal of 328876800 is 8678823.

328876800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (328876783) and next prime (328876817).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133177 + ... + 135623.

Almost surely, 2^328876800 is an apocalyptic number.

328876800 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 328876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620460288).

328876800 is an abundant number, since it is smaller than the sum of its proper divisors (912043776).

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

328876800 is a wasteful number, since it uses less digits than its factorization.

328876800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 328876800 is about 18134.9607112891. The cubic root of 328876800 is about 690.2574128838.

The spelling of 328876800 in words is "three hundred twenty-eight million, eight hundred seventy-six thousand, eight hundred".