328784000 has 64 divisors (see below), whose sum is σ = 817479000. Its totient is φ = 131507200.

The previous prime is 328783957. The next prime is 328784021. The reversal of 328784000 is 487823.

It can be written as a sum of positive squares in 4 ways, for example, as 200279104 + 128504896 = 14152^2 + 11336^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 5726 + ... + 26274.

Almost surely, 2^328784000 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 328784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408739500).

328784000 is an abundant number, since it is smaller than the sum of its proper divisors (488695000).

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

328784000 is an equidigital number, since it uses as much as digits as its factorization.

328784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20578 (or 20556 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 328784000 is about 18132.4019368643. The cubic root of 328784000 is about 690.1924828818.

The spelling of 328784000 in words is "three hundred twenty-eight million, seven hundred eighty-four thousand".