27949824 has 108 divisors (see below), whose sum is σ = 92151696. Its totient is φ = 7981056.

The previous prime is 27949793. The next prime is 27949841. The reversal of 27949824 is 42894972.

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

It is a self number, because there is not a number n which added to its sum of digits gives 27949824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15262 + ... + 16994.

Almost surely, 2^27949824 is an apocalyptic number.

27949824 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 27949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46075848).

27949824 is an abundant number, since it is smaller than the sum of its proper divisors (64201872).

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

27949824 is a wasteful number, since it uses less digits than its factorization.

27949824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 1745 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 27949824 is about 5286.7593098230. The cubic root of 27949824 is about 303.4774031507.

The spelling of 27949824 in words is "twenty-seven million, nine hundred forty-nine thousand, eight hundred twenty-four".