27963144 has 80 divisors (see below), whose sum is σ = 85464720. Its totient is φ = 8471520.

The previous prime is 27963127. The next prime is 27963203. The reversal of 27963144 is 44136972.

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 = 27963099 and 27963108.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5167 + ... + 9089.

It is an arithmetic number, because the mean of its divisors is an integer number (1068309).

Almost surely, 2^27963144 is an apocalyptic number.

27963144 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 27963144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42732360).

27963144 is an abundant number, since it is smaller than the sum of its proper divisors (57501576).

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

27963144 is a wasteful number, since it uses less digits than its factorization.

27963144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3939 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 27963144 is about 5288.0189107075. The cubic root of 27963144 is about 303.5256047307.

Subtracting 27963144 from its reverse (44136972), we obtain a triangular number (16173828 = T₅₆₈₇).

The spelling of 27963144 in words is "twenty-seven million, nine hundred sixty-three thousand, one hundred forty-four".