328934848320 has 448 divisors, whose sum is σ = 1251187418880. Its totient is φ = 80870400000.

The previous prime is 328934848313. The next prime is 328934848337. The reversal of 328934848320 is 23848439823.

328934848320 is a `hidden beast` number, since 3 + 2 + 89 + 3 + 484 + 83 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 146127195 + ... + 146129445.

It is an arithmetic number, because the mean of its divisors is an integer number (2792829060).

Almost surely, 2^328934848320 is an apocalyptic number.

328934848320 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 328934848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625593709440).

328934848320 is an abundant number, since it is smaller than the sum of its proper divisors (922252570560).

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

328934848320 is a wasteful number, since it uses less digits than its factorization.

328934848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3591 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 328934848320 in words is "three hundred twenty-eight billion, nine hundred thirty-four million, eight hundred forty-eight thousand, three hundred twenty".