2813888 has 56 divisors (see below), whose sum is σ = 6973824. Its totient is φ = 1094400.

The previous prime is 2813879. The next prime is 2813897. The reversal of 2813888 is 8883182.

It is an interprime number because it is at equal distance from previous prime (2813879) and next prime (2813897).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4643 + ... + 5213.

2^2813888 is an apocalyptic number.

2813888 is a gapful number since it is divisible by the number (28) 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 2813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3486912).

2813888 is an abundant number, since it is smaller than the sum of its proper divisors (4159936).

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

2813888 is a wasteful number, since it uses less digits than its factorization.

2813888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its digits is 24576, while the sum is 38.

The square root of 2813888 is about 1677.4647537281. The cubic root of 2813888 is about 141.1786211001.

The spelling of 2813888 in words is "two million, eight hundred thirteen thousand, eight hundred eighty-eight".