320065728 has 112 divisors (see below), whose sum is σ = 876946176. Its totient is φ = 102968320.

The previous prime is 320065717. The next prime is 320065729. The reversal of 320065728 is 827560023.

It is not an unprimeable number, because it can be changed into a prime (320065729) 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 15 ways as a sum of consecutive naturals, for example, 722275 + ... + 722717.

Almost surely, 2^320065728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438473088).

320065728 is an abundant number, since it is smaller than the sum of its proper divisors (556880448).

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

320065728 is a wasteful number, since it uses less digits than its factorization.

320065728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 320065728 is about 17890.3808791205. The cubic root of 320065728 is about 684.0372060060.

The spelling of 320065728 in words is "three hundred twenty million, sixty-five thousand, seven hundred twenty-eight".