528360 has 128 divisors (see below), whose sum is σ = 1969920. Its totient is φ = 110592.

The previous prime is 528329. The next prime is 528373. The reversal of 528360 is 63825.

528360 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 528360.

It is an unprimeable number.

528360 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 31 ways as a sum of consecutive naturals, for example, 14262 + ... + 14298.

It is an arithmetic number, because the mean of its divisors is an integer number (15390).

2⁵²⁸³⁶⁰ is an apocalyptic number.

528360 is the 420-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984960).

528360 is an abundant number, since it is smaller than the sum of its proper divisors (1441560).

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

528360 is a wasteful number, since it uses less digits than its factorization.

528360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 528360 is about 726.8837596205. The cubic root of 528360 is about 80.8431655120.

It can be divided in two parts, 528 and 360, that added together give a palindrome (888).

The spelling of 528360 in words is "five hundred twenty-eight thousand, three hundred sixty".