27784848 has 80 divisors (see below), whose sum is σ = 88355456. Its totient is φ = 7326720.

The previous prime is 27784847. The next prime is 27784873. The reversal of 27784848 is 84848772.

It is a happy number.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 27784797 and 27784806.

It is not an unprimeable number, because it can be changed into a prime (27784843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1188 + ... + 7548.

Almost surely, 2^27784848 is an apocalyptic number.

27784848 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 27784848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44177728).

27784848 is an abundant number, since it is smaller than the sum of its proper divisors (60570608).

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

27784848 is a wasteful number, since it uses less digits than its factorization.

27784848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6392 (or 6386 counting only the distinct ones).

The product of its digits is 802816, while the sum is 48.

The square root of 27784848 is about 5271.1334644458. The cubic root of 27784848 is about 302.8791248518.

It can be divided in two parts, 2778 and 4848, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 27784848 in words is "twenty-seven million, seven hundred eighty-four thousand, eight hundred forty-eight".