328800384 has 288 divisors, whose sum is σ = 1106043120. Its totient is φ = 96422400.

The previous prime is 328800371. The next prime is 328800401. The reversal of 328800384 is 483008823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10606449 + ... + 10606479.

Almost surely, 2^328800384 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 328800384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553021560).

328800384 is an abundant number, since it is smaller than the sum of its proper divisors (777242736).

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

328800384 is an equidigital number, since it uses as much as digits as its factorization.

328800384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 328800384 is about 18132.8537191475. The cubic root of 328800384 is about 690.2039472736.

The spelling of 328800384 in words is "three hundred twenty-eight million, eight hundred thousand, three hundred eighty-four".