2857827968 has 64 divisors (see below), whose sum is σ = 5951118600. Its totient is φ = 1365245952.

The previous prime is 2857827949. The next prime is 2857827991. The reversal of 2857827968 is 8697287582.

It is a happy number.

2857827968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2848143424 + 9684544 = 53368^2 + 3112^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 2857827968.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 356096 + ... + 364032.

Almost surely, 2^2857827968 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 2857827968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975559300).

2857827968 is an abundant number, since it is smaller than the sum of its proper divisors (3093290632).

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

2857827968 is an equidigital number, since it uses as much as digits as its factorization.

2857827968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8077 (or 8065 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 62.

The square root of 2857827968 is about 53458.6566236003. The cubic root of 2857827968 is about 1419.0968216826.

The spelling of 2857827968 in words is "two billion, eight hundred fifty-seven million, eight hundred twenty-seven thousand, nine hundred sixty-eight".