27271728 has 100 divisors (see below), whose sum is σ = 86152968. Its totient is φ = 8259840.

The previous prime is 27271709. The next prime is 27271729. The reversal of 27271728 is 82717272.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 27271692 and 27271701.

It is not an unprimeable number, because it can be changed into a prime (27271729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13300 + ... + 15212.

Almost surely, 2^27271728 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 27271728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43076484).

27271728 is an abundant number, since it is smaller than the sum of its proper divisors (58881240).

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

27271728 is a wasteful number, since it uses less digits than its factorization.

27271728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1929 counting only the distinct ones).

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

The square root of 27271728 is about 5222.2340047148. The cubic root of 27271728 is about 301.0030426141.

The spelling of 27271728 in words is "twenty-seven million, two hundred seventy-one thousand, seven hundred twenty-eight".