27728520 has 64 divisors (see below), whose sum is σ = 83592000. Its totient is φ = 7358208.

The previous prime is 27728509. The next prime is 27728521. The reversal of 27728520 is 2582772.

It is not an unprimeable number, because it can be changed into a prime (27728521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31851 + ... + 32709.

It is an arithmetic number, because the mean of its divisors is an integer number (1306125).

Almost surely, 2^27728520 is an apocalyptic number.

27728520 is a gapful number since it is divisible by the number (20) 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 27728520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41796000).

27728520 is an abundant number, since it is smaller than the sum of its proper divisors (55863480).

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

27728520 is a wasteful number, since it uses less digits than its factorization.

27728520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 27728520 is about 5265.7876903650. The cubic root of 27728520 is about 302.6743115752.

The spelling of 27728520 in words is "twenty-seven million, seven hundred twenty-eight thousand, five hundred twenty".