328091924160 has 1344 divisors, whose sum is σ = 1536929372160. Its totient is φ = 62028840960.

The previous prime is 328091924129. The next prime is 328091924179. The reversal of 328091924160 is 61429190823.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×328091924160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210449461 + ... + 210451019.

It is an arithmetic number, because the mean of its divisors is an integer number (1143548640).

Almost surely, 2^328091924160 is an apocalyptic number.

328091924160 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 328091924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768464686080).

328091924160 is an abundant number, since it is smaller than the sum of its proper divisors (1208837448000).

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

328091924160 is a wasteful number, since it uses less digits than its factorization.

328091924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 328091924160 in words is "three hundred twenty-eight billion, ninety-one million, nine hundred twenty-four thousand, one hundred sixty".