27790128 has 100 divisors (see below), whose sum is σ = 82552008. Its totient is φ = 9020160.

The previous prime is 27790127. The next prime is 27790153. The reversal of 27790128 is 82109772.

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 = 27790092 and 27790101.

It is not an unprimeable number, because it can be changed into a prime (27790127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52875 + ... + 53397.

Almost surely, 2^27790128 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 27790128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41276004).

27790128 is an abundant number, since it is smaller than the sum of its proper divisors (54761880).

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

27790128 is a wasteful number, since it uses less digits than its factorization.

27790128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 27790128 is about 5271.6342817005. The cubic root of 27790128 is about 302.8983091747.

The spelling of 27790128 in words is "twenty-seven million, seven hundred ninety thousand, one hundred twenty-eight".