326928000 has 384 divisors, whose sum is σ = 1269777600. Its totient is φ = 74188800.

The previous prime is 326927999. The next prime is 326928013. The reversal of 326928000 is 829623.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2351931 + ... + 2352069.

Almost surely, 2^326928000 is an apocalyptic number.

326928000 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 326928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634888800).

326928000 is an abundant number, since it is smaller than the sum of its proper divisors (942849600).

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

326928000 is a wasteful number, since it uses less digits than its factorization.

326928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 326928000 is about 18081.1504058785. The cubic root of 326928000 is about 688.8913091987.

The spelling of 326928000 in words is "three hundred twenty-six million, nine hundred twenty-eight thousand".