2788435368 has 160 divisors (see below), whose sum is σ = 8133058560. Its totient is φ = 891596160.

The previous prime is 2788435367. The next prime is 2788435409. The reversal of 2788435368 is 8635348872.

2788435368 is a `hidden beast` number, since 27 + 8 + 84 + 3 + 536 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2788435361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2550630 + ... + 2551722.

It is an arithmetic number, because the mean of its divisors is an integer number (50831616).

Almost surely, 2^2788435368 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 2788435368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4066529280).

2788435368 is an abundant number, since it is smaller than the sum of its proper divisors (5344623192).

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

2788435368 is a wasteful number, since it uses less digits than its factorization.

2788435368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1256 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 2788435368 is about 52805.6376535688. The cubic root of 2788435368 is about 1407.5166064543.

The spelling of 2788435368 in words is "two billion, seven hundred eighty-eight million, four hundred thirty-five thousand, three hundred sixty-eight".