27868628088 has 144 divisors (see below), whose sum is σ = 92965326480. Its totient is φ = 7494068736.

The previous prime is 27868628077. The next prime is 27868628113. The reversal of 27868628088 is 88082686872.

27868628088 is a `hidden beast` number, since 278 + 6 + 8 + 6 + 280 + 88 = 666.

It is a super-3 number, since 3×27868628088³ (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 172356 + ... + 292307.

It is an arithmetic number, because the mean of its divisors is an integer number (645592545).

Almost surely, 2^27868628088 is an apocalyptic number.

27868628088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27868628088 is an abundant number, since it is smaller than the sum of its proper divisors (65096698392).

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

27868628088 is a wasteful number, since it uses less digits than its factorization.

27868628088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464706 (or 464692 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 27868628088 in words is "twenty-seven billion, eight hundred sixty-eight million, six hundred twenty-eight thousand, eighty-eight".