26800128 has 78 divisors (see below), whose sum is σ = 77519624. Its totient is φ = 8921088.

The previous prime is 26800093. The next prime is 26800133. The reversal of 26800128 is 82100862.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36501 + ... + 37227.

Almost surely, 2^26800128 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 26800128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38759812).

26800128 is an abundant number, since it is smaller than the sum of its proper divisors (50719496).

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

26800128 is an equidigital number, since it uses as much as digits as its factorization.

26800128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 26800128 is about 5176.8840048817. The cubic root of 26800128 is about 299.2578991347.

The spelling of 26800128 in words is "twenty-six million, eight hundred thousand, one hundred twenty-eight".