271328 has 24 divisors (see below), whose sum is σ = 546840. Its totient is φ = 132480.

The previous prime is 271289. The next prime is 271333. The reversal of 271328 is 823172.

It is a super-3 number, since 3×271328³ = 59924593335238656, which contains 333 as substring.

It is a nialpdrome in base 13.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 271328.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1883 + ... + 2021.

It is an arithmetic number, because the mean of its divisors is an integer number (22785).

2²⁷¹³²⁸ 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 271328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273420).

271328 is an abundant number, since it is smaller than the sum of its proper divisors (275512).

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

271328 is a wasteful number, since it uses less digits than its factorization.

271328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 202 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 271328 is about 520.8915434138. The cubic root of 271328 is about 64.7388337110.

It can be divided in two parts, 271 and 328, that multiplied together give a palindrome (88888).

The spelling of 271328 in words is "two hundred seventy-one thousand, three hundred twenty-eight".