26272128 has 64 divisors (see below), whose sum is σ = 72069120. Its totient is φ = 8471040.

The previous prime is 26272121. The next prime is 26272171. The reversal of 26272128 is 82127262.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 26272095 and 26272104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26272121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10801 + ... + 13007.

It is an arithmetic number, because the mean of its divisors is an integer number (1126080).

Almost surely, 2^26272128 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 26272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36034560).

26272128 is an abundant number, since it is smaller than the sum of its proper divisors (45796992).

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

26272128 is a wasteful number, since it uses less digits than its factorization.

26272128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2243 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 26272128 is about 5125.6343997597. The cubic root of 26272128 is about 297.2795834568.

It can be divided in two parts, 262 and 72128, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 26272128 in words is "twenty-six million, two hundred seventy-two thousand, one hundred twenty-eight".