27148928 has 32 divisors (see below), whose sum is σ = 54593460. Its totient is φ = 13447168.

The previous prime is 27148897. The next prime is 27148943. The reversal of 27148928 is 82984172.

It can be written as a sum of positive squares in 2 ways, for example, as 25321024 + 1827904 = 5032^2 + 1352^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 13526 + ... + 15402.

Almost surely, 2^27148928 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 27148928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27296730).

27148928 is an abundant number, since it is smaller than the sum of its proper divisors (27444532).

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

27148928 is a wasteful number, since it uses less digits than its factorization.

27148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1992 counting only the distinct ones).

The product of its digits is 64512, while the sum is 41.

The square root of 27148928 is about 5210.4633191301. The cubic root of 27148928 is about 300.5505741275.

The spelling of 27148928 in words is "twenty-seven million, one hundred forty-eight thousand, nine hundred twenty-eight".