2827872816 has 80 divisors (see below), whose sum is σ = 7701840384. Its totient is φ = 892311552.

The previous prime is 2827872811. The next prime is 2827872833. The reversal of 2827872816 is 6182787282.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2827872811) 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, 93885 + ... + 120291.

Almost surely, 2^2827872816 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 2827872816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850920192).

2827872816 is an abundant number, since it is smaller than the sum of its proper divisors (4873967568).

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

2827872816 is a wasteful number, since it uses less digits than its factorization.

2827872816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26538 (or 26532 counting only the distinct ones).

The product of its digits is 1204224, while the sum is 51.

The square root of 2827872816 is about 53177.7473761347. The cubic root of 2827872816 is about 1414.1211715463.

The spelling of 2827872816 in words is "two billion, eight hundred twenty-seven million, eight hundred seventy-two thousand, eight hundred sixteen".