27985824 has 144 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 9020160.

The previous prime is 27985823. The next prime is 27985849. The reversal of 27985824 is 42858972.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 27985824.

It is not an unprimeable number, because it can be changed into a prime (27985823) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 458754 + ... + 458814.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 2^27985824 is an apocalyptic number.

27985824 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 27985824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

27985824 is an abundant number, since it is smaller than the sum of its proper divisors (57321216).

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

27985824 is an equidigital number, since it uses as much as digits as its factorization.

27985824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 27985824 is about 5290.1629464507. The cubic root of 27985824 is about 303.6076424829.

The spelling of 27985824 in words is "twenty-seven million, nine hundred eighty-five thousand, eight hundred twenty-four".