528320 has 56 divisors (see below), whose sum is σ = 1365504. Its totient is φ = 193536.

The previous prime is 528317. The next prime is 528329. The reversal of 528320 is 23825.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 528292 and 528301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4097 + ... + 4223.

It is an arithmetic number, because the mean of its divisors is an integer number (24384).

2⁵²⁸³²⁰ 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 528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682752).

528320 is an abundant number, since it is smaller than the sum of its proper divisors (837184).

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

528320 is a wasteful number, since it uses less digits than its factorization.

528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

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

The square root of 528320 is about 726.8562443840. The cubic root of 528320 is about 80.8411253574.

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

The spelling of 528320 in words is "five hundred twenty-eight thousand, three hundred twenty".