27806128 has 60 divisors (see below), whose sum is σ = 64884240. Its totient is φ = 11496576.

The previous prime is 27806123. The next prime is 27806131. The reversal of 27806128 is 82160872.

It is a junction number, because it is equal to n+sod(n) for n = 27806093 and 27806102.

It is not an unprimeable number, because it can be changed into a prime (27806123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22125 + ... + 23347.

It is an arithmetic number, because the mean of its divisors is an integer number (1081404).

Almost surely, 2^27806128 is an apocalyptic number.

27806128 is a gapful number since it is divisible by the number (28) 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 27806128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32442120).

27806128 is an abundant number, since it is smaller than the sum of its proper divisors (37078112).

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

27806128 is a wasteful number, since it uses less digits than its factorization.

27806128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 27806128 is about 5273.1516192880. The cubic root of 27806128 is about 302.9564286522.

The spelling of 27806128 in words is "twenty-seven million, eight hundred six thousand, one hundred twenty-eight".