527572288 has 56 divisors (see below), whose sum is σ = 1119691944. Its totient is φ = 245760000.

The previous prime is 527572273. The next prime is 527572313. The reversal of 527572288 is 882275725.

It can be written as a sum of positive squares in 4 ways, for example, as 309478464 + 218093824 = 17592^2 + 14768^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107488 + ... + 112288.

It is an arithmetic number, because the mean of its divisors is an integer number (19994499).

Almost surely, 2^527572288 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 527572288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559845972).

527572288 is an abundant number, since it is smaller than the sum of its proper divisors (592119656).

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

527572288 is a wasteful number, since it uses less digits than its factorization.

527572288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4931 (or 4921 counting only the distinct ones).

The product of its digits is 627200, while the sum is 46.

The square root of 527572288 is about 22968.9418128045. The cubic root of 527572288 is about 808.0297018785.

The spelling of 527572288 in words is "five hundred twenty-seven million, five hundred seventy-two thousand, two hundred eighty-eight".