27788842368 has 288 divisors, whose sum is σ = 96471353160. Its totient is φ = 7939233792.

The previous prime is 27788842357. The next prime is 27788842381. The reversal of 27788842368 is 86324888772.

27788842368 is a `hidden beast` number, since 2 + 7 + 78 + 88 + 423 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 1514980 + ... + 1533212.

Almost surely, 2^27788842368 is an apocalyptic number.

27788842368 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 27788842368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48235676580).

27788842368 is an abundant number, since it is smaller than the sum of its proper divisors (68682510792).

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

27788842368 is an equidigital number, since it uses as much as digits as its factorization.

27788842368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18276 (or 18245 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 63.

The spelling of 27788842368 in words is "twenty-seven billion, seven hundred eighty-eight million, eight hundred forty-two thousand, three hundred sixty-eight".