2827879968 has 96 divisors (see below), whose sum is σ = 7578264960. Its totient is φ = 923074560.

The previous prime is 2827879963. The next prime is 2827879979. The reversal of 2827879968 is 8699787282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2827879968² = 15993810226831362048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2827879899 and 2827879908.

It is not an unprimeable number, because it can be changed into a prime (2827879961) 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, 1504053 + ... + 1505931.

It is an arithmetic number, because the mean of its divisors is an integer number (78940260).

Almost surely, 2^2827879968 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 2827879968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789132480).

2827879968 is an abundant number, since it is smaller than the sum of its proper divisors (4750384992).

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

2827879968 is a wasteful number, since it uses less digits than its factorization.

2827879968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2202 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 66.

The square root of 2827879968 is about 53177.8146222652. The cubic root of 2827879968 is about 1414.1223637010.

The spelling of 2827879968 in words is "two billion, eight hundred twenty-seven million, eight hundred seventy-nine thousand, nine hundred sixty-eight".