27288144 has 160 divisors (see below), whose sum is σ = 87077760. Its totient is φ = 8128512.

The previous prime is 27288139. The next prime is 27288181. The reversal of 27288144 is 44188272.

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 = 27288099 and 27288108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241432 + ... + 241544.

It is an arithmetic number, because the mean of its divisors is an integer number (544236).

Almost surely, 2^27288144 is an apocalyptic number.

27288144 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 27288144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43538880).

27288144 is an abundant number, since it is smaller than the sum of its proper divisors (59789616).

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

27288144 is a wasteful number, since it uses less digits than its factorization.

27288144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

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

The square root of 27288144 is about 5223.8055093964. The cubic root of 27288144 is about 301.0634259633.

The spelling of 27288144 in words is "twenty-seven million, two hundred eighty-eight thousand, one hundred forty-four".