2788192 has 36 divisors (see below), whose sum is σ = 6056316. Its totient is φ = 1253120.

The previous prime is 2788133. The next prime is 2788199. The reversal of 2788192 is 2918872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2788199) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 31284 + ... + 31372.

It is an arithmetic number, because the mean of its divisors is an integer number (168231).

2^2788192 is an apocalyptic number.

2788192 is a gapful number since it is divisible by the number (22) 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 2788192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028158).

2788192 is an abundant number, since it is smaller than the sum of its proper divisors (3268124).

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

2788192 is an equidigital number, since it uses as much as digits as its factorization.

2788192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 102 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 2788192 is about 1669.7880104971. The cubic root of 2788192 is about 140.7475657030.

The spelling of 2788192 in words is "two million, seven hundred eighty-eight thousand, one hundred ninety-two".