2527532728 has 64 divisors (see below), whose sum is σ = 5531636160. Its totient is φ = 1060356096.

The previous prime is 2527532717. The next prime is 2527532737. The reversal of 2527532728 is 8272357252.

2527532728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2527532728² = 12776843382222243968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557800 + ... + 562312.

It is an arithmetic number, because the mean of its divisors is an integer number (86431815).

Almost surely, 2^2527532728 is an apocalyptic number.

2527532728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2527532728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2765818080).

2527532728 is an abundant number, since it is smaller than the sum of its proper divisors (3004103432).

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

2527532728 is a wasteful number, since it uses less digits than its factorization.

2527532728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4732 counting only the distinct ones).

The product of its digits is 470400, while the sum is 43.

The square root of 2527532728 is about 50274.5733746195. The cubic root of 2527532728 is about 1362.1729838084.

The spelling of 2527532728 in words is "two billion, five hundred twenty-seven million, five hundred thirty-two thousand, seven hundred twenty-eight".