2788632 has 96 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 722880.

The previous prime is 2788627. The next prime is 2788633. The reversal of 2788632 is 2368872.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2788633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5293 + ... + 5795.

It is an arithmetic number, because the mean of its divisors is an integer number (98280).

2^2788632 is an apocalyptic number.

2788632 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 2788632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

2788632 is an abundant number, since it is smaller than the sum of its proper divisors (6646248).

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

2788632 is a wasteful number, since it uses less digits than its factorization.

2788632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 526 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2788632 is about 1669.9197585513. The cubic root of 2788632 is about 140.7549690277.

The spelling of 2788632 in words is "two million, seven hundred eighty-eight thousand, six hundred thirty-two".