27925128 has 256 divisors, whose sum is σ = 102297600. Its totient is φ = 6842880.

The previous prime is 27925123. The next prime is 27925147. The reversal of 27925128 is 82152972.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27925092 and 27925101.

It is not an unprimeable number, because it can be changed into a prime (27925123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382500 + ... + 382572.

It is an arithmetic number, because the mean of its divisors is an integer number (399600).

Almost surely, 2^27925128 is an apocalyptic number.

27925128 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 27925128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51148800).

27925128 is an abundant number, since it is smaller than the sum of its proper divisors (74372472).

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

27925128 is a wasteful number, since it uses less digits than its factorization.

27925128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 119 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 27925128 is about 5284.4231473265. The cubic root of 27925128 is about 303.3879942821.

The spelling of 27925128 in words is "twenty-seven million, nine hundred twenty-five thousand, one hundred twenty-eight".