2827733568 has 224 divisors, whose sum is σ = 8490313728. Its totient is φ = 823142400.

The previous prime is 2827733563. The next prime is 2827733581. The reversal of 2827733568 is 8653377282.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2827733568.

It is not an unprimeable number, because it can be changed into a prime (2827733561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6054871 + ... + 6055337.

Almost surely, 2^2827733568 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 2827733568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245156864).

2827733568 is an abundant number, since it is smaller than the sum of its proper divisors (5662580160).

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

2827733568 is a wasteful number, since it uses less digits than its factorization.

2827733568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 2827733568 is about 53176.4380905679. The cubic root of 2827733568 is about 1414.0979601326.

The spelling of 2827733568 in words is "two billion, eight hundred twenty-seven million, seven hundred thirty-three thousand, five hundred sixty-eight".