27963136 has 36 divisors (see below), whose sum is σ = 58765000. Its totient is φ = 13243392.

The previous prime is 27963127. The next prime is 27963203. The reversal of 27963136 is 63136972.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 27963095 and 27963104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1990 + ... + 7738.

Almost surely, 2^27963136 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 27963136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29382500).

27963136 is an abundant number, since it is smaller than the sum of its proper divisors (30801864).

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

27963136 is an equidigital number, since it uses as much as digits as its factorization.

27963136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5770 counting only the distinct ones).

The product of its digits is 40824, while the sum is 37.

The square root of 27963136 is about 5288.0181542805. The cubic root of 27963136 is about 303.5255757854.

The spelling of 27963136 in words is "twenty-seven million, nine hundred sixty-three thousand, one hundred thirty-six".