27442728 has 48 divisors (see below), whose sum is σ = 75004020. Its totient is φ = 9063936.

The previous prime is 27442721. The next prime is 27442733. The reversal of 27442728 is 82724472.

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 6084 = 5238^2 + 78^2 .

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 = 27442692 and 27442701.

It is not an unprimeable number, because it can be changed into a prime (27442721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6450 + ... + 9822.

Almost surely, 2^27442728 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 27442728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37502010).

27442728 is an abundant number, since it is smaller than the sum of its proper divisors (47561292).

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

27442728 is a wasteful number, since it uses less digits than its factorization.

27442728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3491 counting only the distinct ones).

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

The square root of 27442728 is about 5238.5807238221. The cubic root of 27442728 is about 301.6308516777.

The spelling of 27442728 in words is "twenty-seven million, four hundred forty-two thousand, seven hundred twenty-eight".