27656928 has 144 divisors (see below), whose sum is σ = 86682960. Its totient is φ = 8312832.

The previous prime is 27656921. The next prime is 27656939. The reversal of 27656928 is 82965672.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27656921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310708 + ... + 310796.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 2^27656928 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 27656928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43341480).

27656928 is an abundant number, since it is smaller than the sum of its proper divisors (59026032).

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

27656928 is a wasteful number, since it uses less digits than its factorization.

27656928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 190 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 27656928 is about 5258.9854534882. The cubic root of 27656928 is about 302.4135964324.

The spelling of 27656928 in words is "twenty-seven million, six hundred fifty-six thousand, nine hundred twenty-eight".