527832528 has 80 divisors (see below), whose sum is σ = 1405683840. Its totient is φ = 170546688.

The previous prime is 527832523. The next prime is 527832577. The reversal of 527832528 is 825238725.

It is a super-2 number, since 2×527832528² = 557214355229741568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 527832528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527832523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 779326 + ... + 780002.

It is an arithmetic number, because the mean of its divisors is an integer number (17571048).

Almost surely, 2^527832528 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 527832528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702841920).

527832528 is an abundant number, since it is smaller than the sum of its proper divisors (877851312).

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

527832528 is a wasteful number, since it uses less digits than its factorization.

527832528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1158 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 527832528 is about 22974.6061554926. The cubic root of 527832528 is about 808.1625412309.

The spelling of 527832528 in words is "five hundred twenty-seven million, eight hundred thirty-two thousand, five hundred twenty-eight".