27428856 has 128 divisors (see below), whose sum is σ = 88972800. Its totient is φ = 6842880.

The previous prime is 27428827. The next prime is 27428861. The reversal of 27428856 is 65882472.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41166 + ... + 41826.

It is an arithmetic number, because the mean of its divisors is an integer number (695100).

Almost surely, 2^27428856 is an apocalyptic number.

27428856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27428856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44486400).

27428856 is an abundant number, since it is smaller than the sum of its proper divisors (61543944).

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

27428856 is a wasteful number, since it uses less digits than its factorization.

27428856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 705 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 27428856 is about 5237.2565337207. The cubic root of 27428856 is about 301.5800194087.

The spelling of 27428856 in words is "twenty-seven million, four hundred twenty-eight thousand, eight hundred fifty-six".