27783936 has 108 divisors (see below), whose sum is σ = 82904640. Its totient is φ = 8939520.

The previous prime is 27783919. The next prime is 27783961. The reversal of 27783936 is 63938772.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 27783891 and 27783900.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71230 + ... + 71618.

Almost surely, 2^27783936 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 27783936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41452320).

27783936 is an abundant number, since it is smaller than the sum of its proper divisors (55120704).

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

27783936 is a wasteful number, since it uses less digits than its factorization.

27783936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 27783936 is about 5271.0469548279. The cubic root of 27783936 is about 302.8758109498.

The spelling of 27783936 in words is "twenty-seven million, seven hundred eighty-three thousand, nine hundred thirty-six".