2827627968 has 112 divisors (see below), whose sum is σ = 8211458304. Its totient is φ = 851619840.

The previous prime is 2827627951. The next prime is 2827627987. The reversal of 2827627968 is 8697267282.

It is a happy number.

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, 348696 + ... + 356712.

It is an arithmetic number, because the mean of its divisors is an integer number (73316592).

Almost surely, 2^2827627968 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 2827627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105729152).

2827627968 is an abundant number, since it is smaller than the sum of its proper divisors (5383830336).

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

2827627968 is a wasteful number, since it uses less digits than its factorization.

2827627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 8200 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 57.

The square root of 2827627968 is about 53175.4451603369. The cubic root of 2827627968 is about 1414.0803570358.

The spelling of 2827627968 in words is "two billion, eight hundred twenty-seven million, six hundred twenty-seven thousand, nine hundred sixty-eight".