328857765480 has 512 divisors, whose sum is σ = 1183647168000. Its totient is φ = 80920166400.

The previous prime is 328857765479. The next prime is 328857765487. The reversal of 328857765480 is 84567758823.

328857765480 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 577 + 6 + 54 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (328857765487) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 202124427 + ... + 202126053.

It is an arithmetic number, because the mean of its divisors is an integer number (2311810875).

Almost surely, 2^328857765480 is an apocalyptic number.

328857765480 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 328857765480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591823584000).

328857765480 is an abundant number, since it is smaller than the sum of its proper divisors (854789402520).

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

328857765480 is a wasteful number, since it uses less digits than its factorization.

328857765480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 328857765480 in words is "three hundred twenty-eight billion, eight hundred fifty-seven million, seven hundred sixty-five thousand, four hundred eighty".