27728244 has 84 divisors (see below), whose sum is σ = 75010404. Its totient is φ = 8957952.

The previous prime is 27728231. The next prime is 27728287. The reversal of 27728244 is 44282772.

It can be written as a sum of positive squares in 2 ways, for example, as 26316900 + 1411344 = 5130^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27728199 and 27728208.

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 27 ways as a sum of consecutive naturals, for example, 107764 + ... + 108020.

It is an arithmetic number, because the mean of its divisors is an integer number (892981).

Almost surely, 2^27728244 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 27728244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37505202).

27728244 is an abundant number, since it is smaller than the sum of its proper divisors (47282160).

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

27728244 is a wasteful number, since it uses less digits than its factorization.

27728244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 299 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 27728244 is about 5265.7614833944. The cubic root of 27728244 is about 302.6733073338.

It can be divided in two parts, 27728 and 244, that added together give a palindrome (27972).

The spelling of 27728244 in words is "twenty-seven million, seven hundred twenty-eight thousand, two hundred forty-four".