27728128 has 36 divisors (see below), whose sum is σ = 56015820. Its totient is φ = 13697024.

The previous prime is 27728081. The next prime is 27728149. The reversal of 27728128 is 82182772.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 20502784 = 2688^2 + 4528^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22176 + ... + 23392.

It is an arithmetic number, because the mean of its divisors is an integer number (1555995).

Almost surely, 2^27728128 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 27728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28007910).

27728128 is an abundant number, since it is smaller than the sum of its proper divisors (28287692).

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

27728128 is an equidigital number, since it uses as much as digits as its factorization.

27728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1308 counting only the distinct ones).

The product of its digits is 25088, while the sum is 37.

The square root of 27728128 is about 5265.7504688316. The cubic root of 27728128 is about 302.6728852593.

The spelling of 27728128 in words is "twenty-seven million, seven hundred twenty-eight thousand, one hundred twenty-eight".