27955872 has 144 divisors (see below), whose sum is σ = 93038400. Its totient is φ = 7959168.

The previous prime is 27955867. The next prime is 27955901. The reversal of 27955872 is 27855972.

It is a happy number.

27955872 is a `hidden beast` number, since 27 + 9 + 558 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98643 + ... + 98925.

It is an arithmetic number, because the mean of its divisors is an integer number (646100).

Almost surely, 2^27955872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27955872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46519200).

27955872 is an abundant number, since it is smaller than the sum of its proper divisors (65082528).

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

27955872 is a wasteful number, since it uses less digits than its factorization.

27955872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 295 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 27955872 is about 5287.3312739037. The cubic root of 27955872 is about 303.4992911712.

The spelling of 27955872 in words is "twenty-seven million, nine hundred fifty-five thousand, eight hundred seventy-two".