26293728 has 48 divisors (see below), whose sum is σ = 69914880. Its totient is φ = 8651136.

The previous prime is 26293723. The next prime is 26293733. The reversal of 26293728 is 82739262.

It is an interprime number because it is at equal distance from previous prime (26293723) and next prime (26293733).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26293723) 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 7 ways as a sum of consecutive naturals, for example, 5851 + ... + 9317.

It is an arithmetic number, because the mean of its divisors is an integer number (1456560).

Almost surely, 2^26293728 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 26293728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34957440).

26293728 is an abundant number, since it is smaller than the sum of its proper divisors (43621152).

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

26293728 is a wasteful number, since it uses less digits than its factorization.

26293728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3551 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 26293728 is about 5127.7410231017. The cubic root of 26293728 is about 297.3610320048.

The spelling of 26293728 in words is "twenty-six million, two hundred ninety-three thousand, seven hundred twenty-eight".