2627828288 has 56 divisors (see below), whose sum is σ = 5542605120. Its totient is φ = 1232616960.

The previous prime is 2627828279. The next prime is 2627828339. The reversal of 2627828288 is 8828287262.

It is a super-2 number, since 2×2627828288² = 13810963022426021888, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 114758 + ... + 135738.

Almost surely, 2^2627828288 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 2627828288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771302560).

2627828288 is an abundant number, since it is smaller than the sum of its proper divisors (2914776832).

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

2627828288 is a wasteful number, since it uses less digits than its factorization.

2627828288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21115 (or 21105 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 53.

The square root of 2627828288 is about 51262.3476637580. The cubic root of 2627828288 is about 1379.9573409764.

The spelling of 2627828288 in words is "two billion, six hundred twenty-seven million, eight hundred twenty-eight thousand, two hundred eighty-eight".