2788968 has 64 divisors (see below), whose sum is σ = 8588160. Its totient is φ = 734976.

The previous prime is 2788939. The next prime is 2788979. The reversal of 2788968 is 8698872.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1546 + ... + 2822.

It is an arithmetic number, because the mean of its divisors is an integer number (134190).

2^2788968 is an apocalyptic number.

2788968 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 2788968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294080).

2788968 is an abundant number, since it is smaller than the sum of its proper divisors (5799192).

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

2788968 is a wasteful number, since it uses less digits than its factorization.

2788968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its digits is 387072, while the sum is 48.

The square root of 2788968 is about 1670.0203591573. The cubic root of 2788968 is about 140.7606219512.

The spelling of 2788968 in words is "two million, seven hundred eighty-eight thousand, nine hundred sixty-eight".