27798144 has 64 divisors (see below), whose sum is σ = 80563680. Its totient is φ = 8422400.

The previous prime is 27798143. The next prime is 27798157. The reversal of 27798144 is 44189772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 27798096 and 27798105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27798143) 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, 934 + ... + 7514.

Almost surely, 2^27798144 is an apocalyptic number.

27798144 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 27798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40281840).

27798144 is an abundant number, since it is smaller than the sum of its proper divisors (52765536).

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

27798144 is a wasteful number, since it uses less digits than its factorization.

27798144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6609 (or 6597 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 27798144 is about 5272.3945224158. The cubic root of 27798144 is about 302.9274298206.

The spelling of 27798144 in words is "twenty-seven million, seven hundred ninety-eight thousand, one hundred forty-four".