2827812800 has 42 divisors (see below), whose sum is σ = 6958190808. Its totient is φ = 1131124480.

The previous prime is 2827812791. The next prime is 2827812859. The reversal of 2827812800 is 82187282.

2827812800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 882092 + ... + 885291.

Almost surely, 2^2827812800 is an apocalyptic number.

2827812800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2827812800 is an abundant number, since it is smaller than the sum of its proper divisors (4130378008).

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

2827812800 is a wasteful number, since it uses less digits than its factorization.

2827812800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767405 (or 1767390 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 2827812800 is about 53177.1830769551. The cubic root of 2827812800 is about 1414.1111675018. Note that the first 4 decimals are identical.

The spelling of 2827812800 in words is "two billion, eight hundred twenty-seven million, eight hundred twelve thousand, eight hundred".