328289794560 has 2560 divisors, whose sum is σ = 1570699468800. Its totient is φ = 63063982080.

The previous prime is 328289794559. The next prime is 328289794589. The reversal of 328289794560 is 65497982823.

328289794560 is a `hidden beast` number, since 32 + 8 + 2 + 89 + 79 + 456 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4899847647 + ... + 4899847713.

It is an arithmetic number, because the mean of its divisors is an integer number (613554480).

Almost surely, 2^328289794560 is an apocalyptic number.

328289794560 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 328289794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785349734400).

328289794560 is an abundant number, since it is smaller than the sum of its proper divisors (1242409674240).

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

328289794560 is a wasteful number, since it uses less digits than its factorization.

328289794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 328289794560 in words is "three hundred twenty-eight billion, two hundred eighty-nine million, seven hundred ninety-four thousand, five hundred sixty".