27968144 has 10 divisors (see below), whose sum is σ = 54188310. Its totient is φ = 13984064.

The previous prime is 27968131. The next prime is 27968147. The reversal of 27968144 is 44186972.

It can be written as a sum of positive squares in only one way, i.e., 24403600 + 3564544 = 4940^2 + 1888^2 .

It is not an unprimeable number, because it can be changed into a prime (27968147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 873989 + ... + 874020.

It is an arithmetic number, because the mean of its divisors is an integer number (5418831).

Almost surely, 2^27968144 is an apocalyptic number.

It is an amenable number.

27968144 is a deficient number, since it is larger than the sum of its proper divisors (26220166).

27968144 is a wasteful number, since it uses less digits than its factorization.

27968144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1748017 (or 1748011 counting only the distinct ones).

The product of its digits is 96768, while the sum is 41.

The square root of 27968144 is about 5288.4916564177. The cubic root of 27968144 is about 303.5436944655.

The spelling of 27968144 in words is "twenty-seven million, nine hundred sixty-eight thousand, one hundred forty-four".