26288 has 20 divisors (see below), whose sum is σ = 53568. Its totient is φ = 12480.

The previous prime is 26267. The next prime is 26293. The reversal of 26288 is 88262.

26288 is an admirable number.

It is a zygodrome in base 3.

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, 470 + ... + 522.

2²⁶²⁸⁸ 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 26288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26784).

26288 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

26288 is a wasteful number, since it uses less digits than its factorization.

26288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 86 counting only the distinct ones).

The product of its digits is 1536, while the sum is 26.

The square root of 26288 is about 162.1357455961. The cubic root of 26288 is about 29.7339437404.

Subtracting from 26288 its sum of digits (26), we obtain a palindrome (26262).

The spelling of 26288 in words is "twenty-six thousand, two hundred eighty-eight".