328011368832 has 480 divisors, whose sum is σ = 1140631101720. Its totient is φ = 93682262016.

The previous prime is 328011368827. The next prime is 328011368857. The reversal of 328011368832 is 238863110823.

328011368832 is a `hidden beast` number, since 3 + 280 + 1 + 1 + 368 + 8 + 3 + 2 = 666.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 123450448 + ... + 123453104.

Almost surely, 2^328011368832 is an apocalyptic number.

328011368832 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 328011368832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570315550860).

328011368832 is an abundant number, since it is smaller than the sum of its proper divisors (812619732888).

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

328011368832 is an frugal number, since it uses more digits than its factorization.

328011368832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 328011368832 in words is "three hundred twenty-eight billion, eleven million, three hundred sixty-eight thousand, eight hundred thirty-two".