26783328 has 96 divisors (see below), whose sum is σ = 82639872. Its totient is φ = 7488000.

The previous prime is 26783321. The next prime is 26783329. The reversal of 26783328 is 82338762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26783321) 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, 12753 + ... + 14703.

It is an arithmetic number, because the mean of its divisors is an integer number (860832).

Almost surely, 2^26783328 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 26783328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41319936).

26783328 is an abundant number, since it is smaller than the sum of its proper divisors (55856544).

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

26783328 is a wasteful number, since it uses less digits than its factorization.

26783328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1980 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 26783328 is about 5175.2611528308. The cubic root of 26783328 is about 299.1953548613.

It can be divided in two parts, 2678 and 3328, that added together give a palindrome (6006).

The spelling of 26783328 in words is "twenty-six million, seven hundred eighty-three thousand, three hundred twenty-eight".