26728 has 16 divisors (see below), whose sum is σ = 54180. Its totient is φ = 12288.

The previous prime is 26723. The next prime is 26729. The reversal of 26728 is 82762.

It can be written as a sum of positive squares in 2 ways, for example, as 26244 + 484 = 162^2 + 22^2 .

It is an Ulam number.

26728 is an undulating number in base 16.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (26723) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25 + ... + 232.

2²⁶⁷²⁸ is an apocalyptic number.

It is an amenable number.

26728 is an abundant number, since it is smaller than the sum of its proper divisors (27452).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27090).

26728 is a wasteful number, since it uses less digits than its factorization.

26728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its digits is 1344, while the sum is 25.

The square root of 26728 is about 163.4870025415. The cubic root of 26728 is about 29.8989190632.

It can be divided in two parts, 2 and 6728, that multiplied together give a square (13456 = 116²).

The spelling of 26728 in words is "twenty-six thousand, seven hundred twenty-eight".