320528 has 40 divisors (see below), whose sum is σ = 708288. Its totient is φ = 139392.

The previous prime is 320521. The next prime is 320533. The reversal of 320528 is 825023.

320528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

320528 is a modest number, since divided by 528 gives 32 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 320528.

It is not an unprimeable number, because it can be changed into a prime (320521) by changing a digit.

320528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4751 + ... + 4817.

2³²⁰⁵²⁸ 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 320528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354144).

320528 is an abundant number, since it is smaller than the sum of its proper divisors (387760).

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

320528 is a wasteful number, since it uses less digits than its factorization.

320528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 320528 is about 566.1519230737. The cubic root of 320528 is about 68.4366366661.

It can be divided in two parts, 320 and 528, that added together give a palindrome (848).

The spelling of 320528 in words is "three hundred twenty thousand, five hundred twenty-eight".