27813128 has 32 divisors (see below), whose sum is σ = 60730560. Its totient is φ = 11693760.

The previous prime is 27813113. The next prime is 27813151. The reversal of 27813128 is 82131872.

It is a junction number, because it is equal to n+sod(n) for n = 27813094 and 27813103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1718 + ... + 7653.

It is an arithmetic number, because the mean of its divisors is an integer number (1897830).

Almost surely, 2^27813128 is an apocalyptic number.

27813128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27813128 is an abundant number, since it is smaller than the sum of its proper divisors (32917432).

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

27813128 is a wasteful number, since it uses less digits than its factorization.

27813128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9437 (or 9433 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 27813128 is about 5273.8153172063. The cubic root of 27813128 is about 302.9818489129.

It can be divided in two parts, 2781 and 3128, that multiplied together give a palindrome (8698968).

The spelling of 27813128 in words is "twenty-seven million, eight hundred thirteen thousand, one hundred twenty-eight".