26089128 has 160 divisors (see below), whose sum is σ = 83344800. Its totient is φ = 7558272.

The previous prime is 26089127. The next prime is 26089139. The reversal of 26089128 is 82198062.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26089092 and 26089101.

It is not an unprimeable number, because it can be changed into a prime (26089121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 159975 + ... + 160137.

It is an arithmetic number, because the mean of its divisors is an integer number (520905).

Almost surely, 2^26089128 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 26089128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41672400).

26089128 is an abundant number, since it is smaller than the sum of its proper divisors (57255672).

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

26089128 is a wasteful number, since it uses less digits than its factorization.

26089128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 26089128 is about 5107.7517559098. The cubic root of 26089128 is about 296.5877353172.

The spelling of 26089128 in words is "twenty-six million, eighty-nine thousand, one hundred twenty-eight".