27927648 has 108 divisors (see below), whose sum is σ = 92432340. Its totient is φ = 7975296.

The previous prime is 27927623. The next prime is 27927659. The reversal of 27927648 is 84672972.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13123 + ... + 15101.

It is an arithmetic number, because the mean of its divisors is an integer number (855855).

Almost surely, 2^27927648 is an apocalyptic number.

27927648 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 27927648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46216170).

27927648 is an abundant number, since it is smaller than the sum of its proper divisors (64504692).

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

27927648 is a wasteful number, since it uses less digits than its factorization.

27927648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1991 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 27927648 is about 5284.6615785687. The cubic root of 27927648 is about 303.3971200504.

It can be divided in two parts, 2792 and 7648, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 27927648 in words is "twenty-seven million, nine hundred twenty-seven thousand, six hundred forty-eight".