328800 has 72 divisors (see below), whose sum is σ = 1078056. Its totient is φ = 87040.

The previous prime is 328789. The next prime is 328813. The reversal of 328800 is 8823.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 328800.

It is an unprimeable number.

328800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2332 + ... + 2468.

It is an arithmetic number, because the mean of its divisors is an integer number (14973).

2³²⁸⁸⁰⁰ is an apocalyptic number.

328800 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 328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539028).

328800 is an abundant number, since it is smaller than the sum of its proper divisors (749256).

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

328800 is a wasteful number, since it uses less digits than its factorization.

328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 328800 is about 573.4108474733. The cubic root of 328800 is about 69.0203678581.

It can be divided in two parts, 328 and 800, that added together give a triangular number (1128 = T₄₇).

The spelling of 328800 in words is "three hundred twenty-eight thousand, eight hundred".