320345928 has 336 divisors, whose sum is σ = 1121418000. Its totient is φ = 85240512.

The previous prime is 320345923. The next prime is 320345929. The reversal of 320345928 is 829543023.

320345928 is a `hidden beast` number, since 32 + 0 + 34 + 592 + 8 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 320345892 and 320345901.

It is not an unprimeable number, because it can be changed into a prime (320345923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5429563 + ... + 5429621.

Almost surely, 2^320345928 is an apocalyptic number.

320345928 is a gapful number since it is divisible by the number (38) 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 320345928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560709000).

320345928 is an abundant number, since it is smaller than the sum of its proper divisors (801072072).

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

320345928 is a wasteful number, since it uses less digits than its factorization.

320345928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 320345928 is about 17898.2101898486. The cubic root of 320345928 is about 684.2367601435.

The spelling of 320345928 in words is "three hundred twenty million, three hundred forty-five thousand, nine hundred twenty-eight".