27728712 has 96 divisors (see below), whose sum is σ = 82817280. Its totient is φ = 8311680.

The previous prime is 27728707. The next prime is 27728713. The reversal of 27728712 is 21782772.

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

It is not an unprimeable number, because it can be changed into a prime (27728713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124233 + ... + 124455.

It is an arithmetic number, because the mean of its divisors is an integer number (862680).

Almost surely, 2^27728712 is an apocalyptic number.

27728712 is a gapful number since it is divisible by the number (22) 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 27728712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41408640).

27728712 is an abundant number, since it is smaller than the sum of its proper divisors (55088568).

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

27728712 is a wasteful number, since it uses less digits than its factorization.

27728712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 27728712 is about 5265.8059212242. The cubic root of 27728712 is about 302.6750101741.

The spelling of 27728712 in words is "twenty-seven million, seven hundred twenty-eight thousand, seven hundred twelve".