2813977728 has 96 divisors (see below), whose sum is σ = 8108755200. Its totient is φ = 936691200.

The previous prime is 2813977697. The next prime is 2813977769. The reversal of 2813977728 is 8277793182.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1195753 + ... + 1198103.

It is an arithmetic number, because the mean of its divisors is an integer number (84466200).

Almost surely, 2^2813977728 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 2813977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054377600).

2813977728 is an abundant number, since it is smaller than the sum of its proper divisors (5294777472).

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

2813977728 is a wasteful number, since it uses less digits than its factorization.

2813977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410 (or 3395 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 2813977728 is about 53046.9389126272. The cubic root of 2813977728 is about 1411.8012169773.

The spelling of 2813977728 in words is "two billion, eight hundred thirteen million, nine hundred seventy-seven thousand, seven hundred twenty-eight".