27648852 has 96 divisors (see below), whose sum is σ = 83994624. Its totient is φ = 6864000.

The previous prime is 27648847. The next prime is 27648893. The reversal of 27648852 is 25884672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20602 + ... + 21902.

It is an arithmetic number, because the mean of its divisors is an integer number (874944).

Almost surely, 2^27648852 is an apocalyptic number.

27648852 is a gapful number since it is divisible by the number (22) 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 27648852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41997312).

27648852 is an abundant number, since it is smaller than the sum of its proper divisors (56345772).

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

27648852 is a wasteful number, since it uses less digits than its factorization.

27648852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1347 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 27648852 is about 5258.2175687204. The cubic root of 27648852 is about 302.3841579982.

The spelling of 27648852 in words is "twenty-seven million, six hundred forty-eight thousand, eight hundred fifty-two".