2788272 has 90 divisors (see below), whose sum is σ = 8413028. Its totient is φ = 861696.

The previous prime is 2788217. The next prime is 2788273. The reversal of 2788272 is 2728872.

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

It is not an unprimeable number, because it can be changed into a prime (2788273) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41583 + ... + 41649.

2^2788272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2788272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206514).

2788272 is an abundant number, since it is smaller than the sum of its proper divisors (5624756).

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

2788272 is a wasteful number, since it uses less digits than its factorization.

2788272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 2788272 is about 1669.8119654620. The cubic root of 2788272 is about 140.7489118200.

The spelling of 2788272 in words is "two million, seven hundred eighty-eight thousand, two hundred seventy-two".