27878144 has 72 divisors (see below), whose sum is σ = 65146368. Its totient is φ = 11658240.

The previous prime is 27878143. The next prime is 27878153. The reversal of 27878144 is 44187872.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27878141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84059 + ... + 84389.

Almost surely, 2^27878144 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 27878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32573184).

27878144 is an abundant number, since it is smaller than the sum of its proper divisors (37268224).

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

27878144 is an equidigital number, since it uses as much as digits as its factorization.

27878144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its digits is 100352, while the sum is 41.

The square root of 27878144 is about 5279.9757575201. The cubic root of 27878144 is about 303.2177487678.

The spelling of 27878144 in words is "twenty-seven million, eight hundred seventy-eight thousand, one hundred forty-four".