320858928000 has 2048 divisors, whose sum is σ = 1397200896000. Its totient is φ = 71663616000.

The previous prime is 320858927999. The next prime is 320858928007. The reversal of 320858928000 is 829858023.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320858928007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3307823952 + ... + 3307824048.

It is an arithmetic number, because the mean of its divisors is an integer number (682227000).

Almost surely, 2^320858928000 is an apocalyptic number.

320858928000 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 320858928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698600448000).

320858928000 is an abundant number, since it is smaller than the sum of its proper divisors (1076341968000).

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

320858928000 is a wasteful number, since it uses less digits than its factorization.

320858928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 320858928000 in words is "three hundred twenty billion, eight hundred fifty-eight million, nine hundred twenty-eight thousand".