27783984 has 80 divisors (see below), whose sum is σ = 77137920. Its totient is φ = 8586240.

The previous prime is 27783979. The next prime is 27783997. The reversal of 27783984 is 48938772.

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

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, 64249 + ... + 64679.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 2^27783984 is an apocalyptic number.

27783984 is a gapful number since it is divisible by the number (24) 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 27783984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38568960).

27783984 is an abundant number, since it is smaller than the sum of its proper divisors (49353936).

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

27783984 is a wasteful number, since it uses less digits than its factorization.

27783984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 27783984 is about 5271.0515080010. The cubic root of 27783984 is about 302.8759853675.

The spelling of 27783984 in words is "twenty-seven million, seven hundred eighty-three thousand, nine hundred eighty-four".