328858952832 has 192 divisors, whose sum is σ = 1004201758560. Its totient is φ = 107069921280.

The previous prime is 328858952809. The next prime is 328858952857. The reversal of 328858952832 is 238259858823.

328858952832 is a `hidden beast` number, since 3 + 28 + 8 + 5 + 89 + 528 + 3 + 2 = 666.

328858952832 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 328858952832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1214532 + ... + 1460412.

Almost surely, 2^328858952832 is an apocalyptic number.

328858952832 is a gapful number since it is divisible by the number (32) 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 328858952832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502100879280).

328858952832 is an abundant number, since it is smaller than the sum of its proper divisors (675342805728).

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

328858952832 is an equidigital number, since it uses as much as digits as its factorization.

328858952832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245953 (or 245929 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 328858952832 in words is "three hundred twenty-eight billion, eight hundred fifty-eight million, nine hundred fifty-two thousand, eight hundred thirty-two".