27676848 has 40 divisors (see below), whose sum is σ = 72370368. Its totient is φ = 9113152.

The previous prime is 27676837. The next prime is 27676849. The reversal of 27676848 is 84867672.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 27676797 and 27676806.

It is not an unprimeable number, because it can be changed into a prime (27676849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511 + ... + 7457.

Almost surely, 2^27676848 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 27676848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36185184).

27676848 is an abundant number, since it is smaller than the sum of its proper divisors (44693520).

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

27676848 is a wasteful number, since it uses less digits than its factorization.

27676848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7041 (or 7035 counting only the distinct ones).

The product of its digits is 903168, while the sum is 48.

The square root of 27676848 is about 5260.8790140052. The cubic root of 27676848 is about 302.4861838281.

The spelling of 27676848 in words is "twenty-seven million, six hundred seventy-six thousand, eight hundred forty-eight".