271128 has 64 divisors (see below), whose sum is σ = 806400. Its totient is φ = 74880.

The previous prime is 271127. The next prime is 271129. The reversal of 271128 is 821172.

It is an interprime number because it is at equal distance from previous prime (271127) and next prime (271129).

Its product of digits (224) is a multiple of the sum of its prime factors (112).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3393 + ... + 3471.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2²⁷¹¹²⁸ 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 271128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403200).

271128 is an abundant number, since it is smaller than the sum of its proper divisors (535272).

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

271128 is a wasteful number, since it uses less digits than its factorization.

271128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 108 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 271128 is about 520.6995294793. The cubic root of 271128 is about 64.7229231410.

The spelling of 271128 in words is "two hundred seventy-one thousand, one hundred twenty-eight".