26838272 has 36 divisors (see below), whose sum is σ = 54899796. Its totient is φ = 13086720.

The previous prime is 26838271. The next prime is 26838289. The reversal of 26838272 is 27283862.

It can be written as a sum of positive squares in 2 ways, for example, as 5456896 + 21381376 = 2336^2 + 4624^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26838271) 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, 9218 + ... + 11774.

Almost surely, 2^26838272 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 26838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449898).

26838272 is an abundant number, since it is smaller than the sum of its proper divisors (28061524).

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

26838272 is an equidigital number, since it uses as much as digits as its factorization.

26838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2600 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 26838272 is about 5180.5667643608. The cubic root of 26838272 is about 299.3998074378.

The spelling of 26838272 in words is "twenty-six million, eight hundred thirty-eight thousand, two hundred seventy-two".