27728896 has 44 divisors (see below), whose sum is σ = 59723272. Its totient is φ = 12791808.

The previous prime is 27728891. The next prime is 27728903. The reversal of 27728896 is 69882772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27728891) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12271 + ... + 14353.

Almost surely, 2^27728896 is an apocalyptic number.

27728896 is a gapful number since it is divisible by the number (26) 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 27728896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29861636).

27728896 is an abundant number, since it is smaller than the sum of its proper divisors (31994376).

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

27728896 is a wasteful number, since it uses less digits than its factorization.

27728896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2098 counting only the distinct ones).

The product of its digits is 677376, while the sum is 49.

The square root of 27728896 is about 5265.8233924050. The cubic root of 27728896 is about 302.6756796616.

The spelling of 27728896 in words is "twenty-seven million, seven hundred twenty-eight thousand, eight hundred ninety-six".