2827225728 has 128 divisors (see below), whose sum is σ = 8382441600. Its totient is φ = 938096640.

The previous prime is 2827225691. The next prime is 2827225741. The reversal of 2827225728 is 8275227282.

2827225728 is a `hidden beast` number, since 2 + 8 + 2 + 72 + 2 + 572 + 8 = 666.

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

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, 803493 + ... + 807003.

It is an arithmetic number, because the mean of its divisors is an integer number (65487825).

Almost surely, 2^2827225728 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 2827225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191220800).

2827225728 is an abundant number, since it is smaller than the sum of its proper divisors (5555215872).

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

2827225728 is a wasteful number, since it uses less digits than its factorization.

2827225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3767 (or 3749 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 2827225728 is about 53171.6628289919. The cubic root of 2827225728 is about 1414.0133012252.

The spelling of 2827225728 in words is "two billion, eight hundred twenty-seven million, two hundred twenty-five thousand, seven hundred twenty-eight".