528080 has 80 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 168960.

The previous prime is 528053. The next prime is 528091. The reversal of 528080 is 80825.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

528080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 12860 + ... + 12900.

2⁵²⁸⁰⁸⁰ 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 528080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

528080 is an abundant number, since it is smaller than the sum of its proper divisors (971824).

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

528080 is a wasteful number, since it uses less digits than its factorization.

528080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 528080 is about 726.6911310867. The cubic root of 528080 is about 80.8288822669.

The spelling of 528080 in words is "five hundred twenty-eight thousand, eighty".