528252288 has 128 divisors (see below), whose sum is σ = 1564272000. Its totient is φ = 156966912.

The previous prime is 528252251. The next prime is 528252343. The reversal of 528252288 is 882252825.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121903 + ... + 126161.

It is an arithmetic number, because the mean of its divisors is an integer number (12220875).

Almost surely, 2^528252288 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 528252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782136000).

528252288 is an abundant number, since it is smaller than the sum of its proper divisors (1036019712).

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

528252288 is a wasteful number, since it uses less digits than its factorization.

528252288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 4300 counting only the distinct ones).

The product of its digits is 204800, while the sum is 42.

The square root of 528252288 is about 22983.7396434958. The cubic root of 528252288 is about 808.3767154903.

The spelling of 528252288 in words is "five hundred twenty-eight million, two hundred fifty-two thousand, two hundred eighty-eight".