328896000 has 240 divisors, whose sum is σ = 1186696368. Its totient is φ = 87552000.

The previous prime is 328895993. The next prime is 328896011. The reversal of 328896000 is 698823.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575715 + ... + 576285.

Almost surely, 2^328896000 is an apocalyptic number.

328896000 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 328896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593348184).

328896000 is an abundant number, since it is smaller than the sum of its proper divisors (857800368).

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

328896000 is an equidigital number, since it uses as much as digits as its factorization.

328896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 328896000 is about 18135.4900678201. The cubic root of 328896000 is about 690.2708451522.

The spelling of 328896000 in words is "three hundred twenty-eight million, eight hundred ninety-six thousand".