2788200 has 72 divisors (see below), whose sum is σ = 9369750. Its totient is φ = 743040.

The previous prime is 2788199. The next prime is 2788213. The reversal of 2788200 is 28872.

It can be written as a sum of positive squares in 3 ways, for example, as 1855044 + 933156 = 1362^2 + 966^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1026 + ... + 2574.

2^2788200 is an apocalyptic number.

2788200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2788200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684875).

2788200 is an abundant number, since it is smaller than the sum of its proper divisors (6581550).

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

2788200 is a wasteful number, since it uses less digits than its factorization.

2788200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2788200 is about 1669.7904060091. The cubic root of 2788200 is about 140.7477003159.

The spelling of 2788200 in words is "two million, seven hundred eighty-eight thousand, two hundred".