271628 has 24 divisors (see below), whose sum is σ = 554400. Its totient is φ = 114048.

The previous prime is 271619. The next prime is 271637. The reversal of 271628 is 826172.

It is an interprime number because it is at equal distance from previous prime (271619) and next prime (271637).

It is a plaindrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 271597 and 271606.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 271628.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2438 + ... + 2546.

It is an arithmetic number, because the mean of its divisors is an integer number (23100).

2²⁷¹⁶²⁸ is an apocalyptic number.

271628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

271628 is an abundant number, since it is smaller than the sum of its proper divisors (282772).

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

271628 is a wasteful number, since it uses less digits than its factorization.

271628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 207 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 271628 is about 521.1794316740. The cubic root of 271628 is about 64.7626849126.

It can be divided in two parts, 2716 and 28, that added together give a cube (2744 = 14³).

The spelling of 271628 in words is "two hundred seventy-one thousand, six hundred twenty-eight".