27991776 has 48 divisors (see below), whose sum is σ = 74003328. Its totient is φ = 9264000.

The previous prime is 27991763. The next prime is 27991781. The reversal of 27991776 is 67719972.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 13531 + ... + 15461.

It is an arithmetic number, because the mean of its divisors is an integer number (1541736).

Almost surely, 2^27991776 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 27991776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37001664).

27991776 is an abundant number, since it is smaller than the sum of its proper divisors (46011552).

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

27991776 is a wasteful number, since it uses less digits than its factorization.

27991776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095 (or 2087 counting only the distinct ones).

The product of its digits is 333396, while the sum is 48.

The square root of 27991776 is about 5290.7254701033. The cubic root of 27991776 is about 303.6291646244.

The spelling of 27991776 in words is "twenty-seven million, nine hundred ninety-one thousand, seven hundred seventy-six".