320538528 has 72 divisors (see below), whose sum is σ = 915733728. Its totient is φ = 106353792.

The previous prime is 320538523. The next prime is 320538551. The reversal of 320538528 is 825835023.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 320538492 and 320538501.

It is not an unprimeable number, because it can be changed into a prime (320538521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62925 + ... + 67827.

It is an arithmetic number, because the mean of its divisors is an integer number (12718524).

Almost surely, 2^320538528 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 320538528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457866864).

320538528 is an abundant number, since it is smaller than the sum of its proper divisors (595195200).

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

320538528 is a wasteful number, since it uses less digits than its factorization.

320538528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5146 (or 5135 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 320538528 is about 17903.5898076336. The cubic root of 320538528 is about 684.3738594339.

The spelling of 320538528 in words is "three hundred twenty million, five hundred thirty-eight thousand, five hundred twenty-eight".