27828444 has 48 divisors (see below), whose sum is σ = 75439616. Its totient is φ = 7819200.

The previous prime is 27828433. The next prime is 27828457. The reversal of 27828444 is 44482872.

It is a super-2 number, since 2×27828444² = 1548844590922272, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2409 + ... + 7839.

Almost surely, 2^27828444 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 27828444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37719808).

27828444 is an abundant number, since it is smaller than the sum of its proper divisors (47611172).

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

27828444 is a wasteful number, since it uses less digits than its factorization.

27828444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5504 counting only the distinct ones).

The product of its digits is 114688, while the sum is 39.

The square root of 27828444 is about 5275.2671970242. The cubic root of 27828444 is about 303.0374535715.

The spelling of 27828444 in words is "twenty-seven million, eight hundred twenty-eight thousand, four hundred forty-four".