328832000 has 176 divisors, whose sum is σ = 940113408. Its totient is φ = 112435200.

The previous prime is 328831991. The next prime is 328832017. The reversal of 328832000 is 238823.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 895817 + ... + 896183.

Almost surely, 2^328832000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470056704).

328832000 is an abundant number, since it is smaller than the sum of its proper divisors (611281408).

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

328832000 is an equidigital number, since it uses as much as digits as its factorization.

328832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 328832000 is about 18133.7254859557. The cubic root of 328832000 is about 690.2260688908.

The spelling of 328832000 in words is "three hundred twenty-eight million, eight hundred thirty-two thousand".