27844768 has 48 divisors (see below), whose sum is σ = 63068544. Its totient is φ = 11854080.

The previous prime is 27844753. The next prime is 27844777. The reversal of 27844768 is 86744872.

It is a super-2 number, since 2×27844768² = 1550662209947648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43813 + ... + 44443.

It is an arithmetic number, because the mean of its divisors is an integer number (1313928).

Almost surely, 2^27844768 is an apocalyptic number.

27844768 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 27844768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31534272).

27844768 is an abundant number, since it is smaller than the sum of its proper divisors (35223776).

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

27844768 is a wasteful number, since it uses less digits than its factorization.

27844768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 837 counting only the distinct ones).

The product of its digits is 602112, while the sum is 46.

The square root of 27844768 is about 5276.8141903994. The cubic root of 27844768 is about 303.0966953130.

The spelling of 27844768 in words is "twenty-seven million, eight hundred forty-four thousand, seven hundred sixty-eight".