27852448 has 96 divisors (see below), whose sum is σ = 64012032. Its totient is φ = 11827200.

The previous prime is 27852437. The next prime is 27852449. The reversal of 27852448 is 84425872.

It is a self number, because there is not a number n which added to its sum of digits gives 27852448.

It is not an unprimeable number, because it can be changed into a prime (27852449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 392253 + ... + 392323.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

It is a vampire number, since it can be written as 4784 ⋅ 5822 (with its own digits).

Almost surely, 2^27852448 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 27852448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32006016).

27852448 is an abundant number, since it is smaller than the sum of its proper divisors (36159584).

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

27852448 is a wasteful number, since it uses less digits than its factorization.

27852448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its digits is 143360, while the sum is 40.

The square root of 27852448 is about 5277.5418520368. The cubic root of 27852448 is about 303.1245589394.

The spelling of 27852448 in words is "twenty-seven million, eight hundred fifty-two thousand, four hundred forty-eight".