26314128 has 60 divisors (see below), whose sum is σ = 75456108. Its totient is φ = 8555520.

The previous prime is 26314121. The next prime is 26314153. The reversal of 26314128 is 82141362.

26314128 is a `hidden beast` number, since 2 + 631 + 4 + 1 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8573184 + 17740944 = 2928^2 + 4212^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26314121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3676 + ... + 8132.

Almost surely, 2^26314128 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 26314128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37728054).

26314128 is an abundant number, since it is smaller than the sum of its proper divisors (49141980).

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

26314128 is a wasteful number, since it uses less digits than its factorization.

26314128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4503 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 26314128 is about 5129.7298174465. The cubic root of 26314128 is about 297.4379146860.

It can be divided in two parts, 263141 and 28, that added together give a square (263169 = 513²).

The spelling of 26314128 in words is "twenty-six million, three hundred fourteen thousand, one hundred twenty-eight".