27783648 has 96 divisors (see below), whose sum is σ = 82242720. Its totient is φ = 9237888.

The previous prime is 27783647. The next prime is 27783677. The reversal of 27783648 is 84638772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27783641) 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, 69786 + ... + 70182.

It is an arithmetic number, because the mean of its divisors is an integer number (856695).

Almost surely, 2^27783648 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 27783648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41121360).

27783648 is an abundant number, since it is smaller than the sum of its proper divisors (54459072).

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

27783648 is an frugal number, since it uses more digits than its factorization.

27783648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

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

The square root of 27783648 is about 5271.0196357062. The cubic root of 27783648 is about 302.8747644394.

The spelling of 27783648 in words is "twenty-seven million, seven hundred eighty-three thousand, six hundred forty-eight".