27728616168 has 64 divisors (see below), whose sum is σ = 84026116800. Its totient is φ = 8402610240.

The previous prime is 27728616107. The next prime is 27728616187. The reversal of 27728616168 is 86161682772.

27728616168 is a `hidden beast` number, since 2 + 7 + 7 + 2 + 8 + 616 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5832771 + ... + 5837522.

It is an arithmetic number, because the mean of its divisors is an integer number (1312908075).

Almost surely, 2^27728616168 is an apocalyptic number.

It is an amenable number.

27728616168 is an abundant number, since it is smaller than the sum of its proper divisors (56297500632).

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

27728616168 is a wasteful number, since it uses less digits than its factorization.

27728616168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11670319 (or 11670309 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 27728616168 in words is "twenty-seven billion, seven hundred twenty-eight million, six hundred sixteen thousand, one hundred sixty-eight".