27891792 has 60 divisors (see below), whose sum is σ = 78818740. Its totient is φ = 9206784.

The previous prime is 27891763. The next prime is 27891793. The reversal of 27891792 is 29719872.

It can be written as a sum of positive squares in 2 ways, for example, as 16842816 + 11048976 = 4104^2 + 3324^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27891793) 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, 14808 + ... + 16584.

Almost surely, 2^27891792 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 27891792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39409370).

27891792 is an abundant number, since it is smaller than the sum of its proper divisors (50926948).

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

27891792 is a wasteful number, since it uses less digits than its factorization.

27891792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1891 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 27891792 is about 5281.2680295550. The cubic root of 27891792 is about 303.2672217014.

The spelling of 27891792 in words is "twenty-seven million, eight hundred ninety-one thousand, seven hundred ninety-two".