2800288800 has 144 divisors (see below), whose sum is σ = 10127789280. Its totient is φ = 746737920.

The previous prime is 2800288789. The next prime is 2800288849. The reversal of 2800288800 is 88820082.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43222 + ... + 86421.

It is an arithmetic number, because the mean of its divisors is an integer number (70331870).

Almost surely, 2^2800288800 is an apocalyptic number.

2800288800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2800288800 is an abundant number, since it is smaller than the sum of its proper divisors (7327500480).

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

2800288800 is a wasteful number, since it uses less digits than its factorization.

2800288800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129672 (or 129653 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2800288800 is about 52917.7550544238. The cubic root of 2800288800 is about 1409.5082033154.

It can be divided in two parts, 2800 and 288800, that added together give a square (291600 = 540²).

The spelling of 2800288800 in words is "two billion, eight hundred million, two hundred eighty-eight thousand, eight hundred".