2563027728 has 80 divisors (see below), whose sum is σ = 6886541376. Its totient is φ = 820753920.

The previous prime is 2563027723. The next prime is 2563027739. The reversal of 2563027728 is 8277203652.

It is a super-2 number, since 2×2563027728² = 13138222268993683968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2563027728.

It is not an unprimeable number, because it can be changed into a prime (2563027723) 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, 115726 + ... + 136082.

Almost surely, 2^2563027728 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 2563027728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443270688).

2563027728 is an abundant number, since it is smaller than the sum of its proper divisors (4323513648).

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

2563027728 is a wasteful number, since it uses less digits than its factorization.

2563027728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20472 (or 20466 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 2563027728 is about 50626.3540855946. The cubic root of 2563027728 is about 1368.5198513311.

The spelling of 2563027728 in words is "two billion, five hundred sixty-three million, twenty-seven thousand, seven hundred twenty-eight".