328973809920 has 576 divisors, whose sum is σ = 1252317265920. Its totient is φ = 72007778304.

The previous prime is 328973809909. The next prime is 328973809999. The reversal of 328973809920 is 29908379823.

It is a happy number.

328973809920 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×328973809920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 98997379 + ... + 99000701.

It is an arithmetic number, because the mean of its divisors is an integer number (2174161920).

Almost surely, 2^328973809920 is an apocalyptic number.

328973809920 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 328973809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626158632960).

328973809920 is an abundant number, since it is smaller than the sum of its proper divisors (923343456000).

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

328973809920 is a wasteful number, since it uses less digits than its factorization.

328973809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 328973809920 in words is "three hundred twenty-eight billion, nine hundred seventy-three million, eight hundred nine thousand, nine hundred twenty".