27766848 has 112 divisors (see below), whose sum is σ = 79881984. Its totient is φ = 8478720.

The previous prime is 27766813. The next prime is 27766873. The reversal of 27766848 is 84866772.

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 = 27766797 and 27766806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153318 + ... + 153498.

It is an arithmetic number, because the mean of its divisors is an integer number (713232).

Almost surely, 2^27766848 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 27766848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39940992).

27766848 is an abundant number, since it is smaller than the sum of its proper divisors (52115136).

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

27766848 is a wasteful number, since it uses less digits than its factorization.

27766848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

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

The square root of 27766848 is about 5269.4257751675. The cubic root of 27766848 is about 302.8137054792.

The spelling of 27766848 in words is "twenty-seven million, seven hundred sixty-six thousand, eight hundred forty-eight".