27727128 has 96 divisors (see below), whose sum is σ = 88255440. Its totient is φ = 7752960.

The previous prime is 27727127. The next prime is 27727129. The reversal of 27727128 is 82172772.

It is an interprime number because it is at equal distance from previous prime (27727127) and next prime (27727129).

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 = 27727092 and 27727101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27727127) 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 23 ways as a sum of consecutive naturals, for example, 8950 + ... + 11642.

Almost surely, 2^27727128 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 27727128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44127720).

27727128 is an abundant number, since it is smaller than the sum of its proper divisors (60528312).

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

27727128 is a wasteful number, since it uses less digits than its factorization.

27727128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2722 counting only the distinct ones).

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

The square root of 27727128 is about 5265.6555147484. The cubic root of 27727128 is about 302.6692466374.

The spelling of 27727128 in words is "twenty-seven million, seven hundred twenty-seven thousand, one hundred twenty-eight".