26457728 has 128 divisors (see below), whose sum is σ = 64627200. Its totient is φ = 10644480.

The previous prime is 26457727. The next prime is 26457733. The reversal of 26457728 is 82775462.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×26457728² = 1400022741843968, which contains 22 as substring.

Its product of digits (188160) is a multiple of the sum of its prime divisors (98).

It is not an unprimeable number, because it can be changed into a prime (26457721) 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 15 ways as a sum of consecutive naturals, for example, 615275 + ... + 615317.

It is an arithmetic number, because the mean of its divisors is an integer number (504900).

Almost surely, 2^26457728 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 26457728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32313600).

26457728 is an abundant number, since it is smaller than the sum of its proper divisors (38169472).

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

26457728 is a wasteful number, since it uses less digits than its factorization.

26457728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 98 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 26457728 is about 5143.7076122190. The cubic root of 26457728 is about 297.9779873535.

It can be divided in two parts, 26 and 457728, that added together give a palindrome (457754).

The spelling of 26457728 in words is "twenty-six million, four hundred fifty-seven thousand, seven hundred twenty-eight".