27838827168 has 24 divisors (see below), whose sum is σ = 73076921568. Its totient is φ = 9279609024.

The previous prime is 27838827167. The next prime is 27838827187. The reversal of 27838827168 is 86172883872.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×27838827168⁴ (a number of 43 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (27838827167) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 144993796 + ... + 144993987.

It is an arithmetic number, because the mean of its divisors is an integer number (3044871732).

Almost surely, 2^27838827168 is an apocalyptic number.

It is an amenable number.

27838827168 is an abundant number, since it is smaller than the sum of its proper divisors (45238094400).

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

27838827168 is a wasteful number, since it uses less digits than its factorization.

27838827168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289987796 (or 289987788 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 60.

The spelling of 27838827168 in words is "twenty-seven billion, eight hundred thirty-eight million, eight hundred twenty-seven thousand, one hundred sixty-eight".