27688727808 has 216 divisors, whose sum is σ = 94183072256. Its totient is φ = 7655731200.

The previous prime is 27688727783. The next prime is 27688727819. The reversal of 27688727808 is 80872788672.

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

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 23 ways as a sum of consecutive naturals, for example, 472278 + ... + 527658.

Almost surely, 2^27688727808 is an apocalyptic number.

27688727808 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 27688727808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47091536128).

27688727808 is an abundant number, since it is smaller than the sum of its proper divisors (66494344448).

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

27688727808 is a wasteful number, since it uses less digits than its factorization.

27688727808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55441 (or 55424 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 63.

The spelling of 27688727808 in words is "twenty-seven billion, six hundred eighty-eight million, seven hundred twenty-seven thousand, eight hundred eight".