27882144 has 120 divisors (see below), whose sum is σ = 84889728. Its totient is φ = 8968320.

The previous prime is 27882143. The next prime is 27882157. The reversal of 27882144 is 44128872.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27882099 and 27882108.

It is not an unprimeable number, because it can be changed into a prime (27882143) 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 19 ways as a sum of consecutive naturals, for example, 80179 + ... + 80525.

Almost surely, 2^27882144 is an apocalyptic number.

27882144 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 27882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42444864).

27882144 is an abundant number, since it is smaller than the sum of its proper divisors (57007584).

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

27882144 is a wasteful number, since it uses less digits than its factorization.

27882144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 383 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 27882144 is about 5280.3545335517. The cubic root of 27882144 is about 303.2322501276.

The spelling of 27882144 in words is "twenty-seven million, eight hundred eighty-two thousand, one hundred forty-four".