27648873 has 24 divisors (see below), whose sum is σ = 45780800. Its totient is φ = 15751584.

The previous prime is 27648847. The next prime is 27648893. The reversal of 27648873 is 37884672.

It is a happy number.

It is not a de Polignac number, because 27648873 - 2¹⁰ = 27647849 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27648893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38643 + ... + 39351.

Almost surely, 2^27648873 is an apocalyptic number.

It is an amenable number.

27648873 is a deficient number, since it is larger than the sum of its proper divisors (18131927).

27648873 is a wasteful number, since it uses less digits than its factorization.

27648873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1338 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 27648873 is about 5258.2195655944. The cubic root of 27648873 is about 302.3842345543.

The spelling of 27648873 in words is "twenty-seven million, six hundred forty-eight thousand, eight hundred seventy-three".