27071928 has 128 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 8035200.

The previous prime is 27071927. The next prime is 27071929. The reversal of 27071928 is 82917072.

It is an interprime number because it is at equal distance from previous prime (27071927) and next prime (27071929).

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 = 27071892 and 27071901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27071921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86893 + ... + 87203.

It is an arithmetic number, because the mean of its divisors is an integer number (655200).

Almost surely, 2^27071928 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 27071928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932800).

27071928 is an abundant number, since it is smaller than the sum of its proper divisors (56793672).

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

27071928 is a wasteful number, since it uses less digits than its factorization.

27071928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 27071928 is about 5203.0690942943. The cubic root of 27071928 is about 300.2661637863.

The spelling of 27071928 in words is "twenty-seven million, seventy-one thousand, nine hundred twenty-eight".