528259680 has 144 divisors (see below), whose sum is σ = 1941423120. Its totient is φ = 130028544.

The previous prime is 528259673. The next prime is 528259681. The reversal of 528259680 is 86952825.

528259680 is a `hidden beast` number, since 52 + 8 + 2 + 596 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528259681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4611 + ... + 32829.

It is an arithmetic number, because the mean of its divisors is an integer number (13482105).

Almost surely, 2^528259680 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 528259680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970711560).

528259680 is an abundant number, since it is smaller than the sum of its proper divisors (1413163440).

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

528259680 is a wasteful number, since it uses less digits than its factorization.

528259680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28253 (or 28242 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 528259680 is about 22983.9004522731. The cubic root of 528259680 is about 808.3804860957.

The spelling of 528259680 in words is "five hundred twenty-eight million, two hundred fifty-nine thousand, six hundred eighty".