528120 has 80 divisors (see below), whose sum is σ = 1785960. Its totient is φ = 139968.

The previous prime is 528107. The next prime is 528127. The reversal of 528120 is 21825.

528120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 528093 and 528102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528127) by changing a digit.

528120 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 19 ways as a sum of consecutive naturals, for example, 3159 + ... + 3321.

2⁵²⁸¹²⁰ 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 528120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892980).

528120 is an abundant number, since it is smaller than the sum of its proper divisors (1257840).

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

528120 is a wasteful number, since it uses less digits than its factorization.

528120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 528120 is about 726.7186525747. The cubic root of 528120 is about 80.8309230396.

Adding to 528120 its reverse (21825), we get a palindrome (549945).

The spelling of 528120 in words is "five hundred twenty-eight thousand, one hundred twenty".