27789312 has 48 divisors (see below), whose sum is σ = 74103120. Its totient is φ = 9261056.

The previous prime is 27789283. The next prime is 27789317. The reversal of 27789312 is 21398772.

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

It is a super-2 number, since 2×27789312² = 1544491722866688, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27789317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3883 + ... + 8405.

It is an arithmetic number, because the mean of its divisors is an integer number (1543815).

Almost surely, 2^27789312 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 27789312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37051560).

27789312 is an abundant number, since it is smaller than the sum of its proper divisors (46313808).

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

27789312 is an equidigital number, since it uses as much as digits as its factorization.

27789312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548 (or 4528 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 27789312 is about 5271.5568857786. The cubic root of 27789312 is about 302.8953444836.

It can be divided in two parts, 2778 and 9312, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 27789312 in words is "twenty-seven million, seven hundred eighty-nine thousand, three hundred twelve".