27763944 has 128 divisors (see below), whose sum is σ = 80559360. Its totient is φ = 7907328.

The previous prime is 27763943. The next prime is 27763961. The reversal of 27763944 is 44936772.

It is a junction number, because it is equal to n+sod(n) for n = 27763896 and 27763905.

It is not an unprimeable number, because it can be changed into a prime (27763943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380292 + ... + 380364.

It is an arithmetic number, because the mean of its divisors is an integer number (629370).

Almost surely, 2^27763944 is an apocalyptic number.

27763944 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 27763944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40279680).

27763944 is an abundant number, since it is smaller than the sum of its proper divisors (52795416).

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

27763944 is a wasteful number, since it uses less digits than its factorization.

27763944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 167 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 27763944 is about 5269.1502161164. The cubic root of 27763944 is about 302.8031485055.

The spelling of 27763944 in words is "twenty-seven million, seven hundred sixty-three thousand, nine hundred forty-four".