27776448 has 126 divisors (see below), whose sum is σ = 92099384. Its totient is φ = 7840512.

The previous prime is 27776447. The next prime is 27776459. The reversal of 27776448 is 84467772.

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27776443) 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 17 ways as a sum of consecutive naturals, for example, 334615 + ... + 334697.

Almost surely, 2^27776448 is an apocalyptic number.

27776448 is a gapful number since it is divisible by the number (28) 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 27776448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46049692).

27776448 is an abundant number, since it is smaller than the sum of its proper divisors (64322936).

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

27776448 is an equidigital number, since it uses as much as digits as its factorization.

27776448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 95 counting only the distinct ones).

The product of its digits is 526848, while the sum is 45.

The square root of 27776448 is about 5270.3366116407. The cubic root of 27776448 is about 302.8485993284.

It can be divided in two parts, 27776 and 448, that added together give a square (28224 = 168²).

The spelling of 27776448 in words is "twenty-seven million, seven hundred seventy-six thousand, four hundred forty-eight".