328896800 has 72 divisors (see below), whose sum is σ = 818174196. Its totient is φ = 129059840.

The previous prime is 328896791. The next prime is 328896823. The reversal of 328896800 is 8698823.

It can be written as a sum of positive squares in 6 ways, for example, as 212343184 + 116553616 = 14572^2 + 10796^2 .

It is a super-3 number, since 3×328896800³ (a number of 27 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 38522 + ... + 46278.

Almost surely, 2^328896800 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 328896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409087098).

328896800 is an abundant number, since it is smaller than the sum of its proper divisors (489277396).

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

328896800 is a wasteful number, since it uses less digits than its factorization.

328896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7830 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 328896800 is about 18135.5121240069. The cubic root of 328896800 is about 690.2714048187.

The spelling of 328896800 in words is "three hundred twenty-eight million, eight hundred ninety-six thousand, eight hundred".