27919944 has 128 divisors (see below), whose sum is σ = 85411200. Its totient is φ = 8398080.

The previous prime is 27919939. The next prime is 27919973. The reversal of 27919944 is 44991972.

It is a happy number.

Its product of digits (163296) is a multiple of the sum of its prime factors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 27919944.

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, 171207 + ... + 171369.

It is an arithmetic number, because the mean of its divisors is an integer number (667275).

Almost surely, 2^27919944 is an apocalyptic number.

27919944 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 27919944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42705600).

27919944 is an abundant number, since it is smaller than the sum of its proper divisors (57491256).

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

27919944 is a wasteful number, since it uses less digits than its factorization.

27919944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 27919944 is about 5283.9326263684. The cubic root of 27919944 is about 303.3692195464.

The spelling of 27919944 in words is "twenty-seven million, nine hundred nineteen thousand, nine hundred forty-four".