328153600 has 120 divisors (see below), whose sum is σ = 840267648. Its totient is φ = 126873600.

The previous prime is 328153549. The next prime is 328153613. The reversal of 328153600 is 6351823.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396387 + ... + 397213.

Almost surely, 2^328153600 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 328153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420133824).

328153600 is an abundant number, since it is smaller than the sum of its proper divisors (512114048).

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

328153600 is an equidigital number, since it uses as much as digits as its factorization.

328153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 328153600 is about 18115.0103505353. The cubic root of 328153600 is about 689.7510829369.

The spelling of 328153600 in words is "three hundred twenty-eight million, one hundred fifty-three thousand, six hundred".