26828800 has 84 divisors (see below), whose sum is σ = 67039236. Its totient is φ = 10649600.

The previous prime is 26828773. The next prime is 26828803. The reversal of 26828800 is 882862.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26828803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204735 + ... + 204865.

Almost surely, 2^26828800 is an apocalyptic number.

26828800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33519618).

26828800 is an abundant number, since it is smaller than the sum of its proper divisors (40210436).

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

26828800 is an equidigital number, since it uses as much as digits as its factorization.

26828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 26828800 is about 5179.6524979964. The cubic root of 26828800 is about 299.3645810185.

The spelling of 26828800 in words is "twenty-six million, eight hundred twenty-eight thousand, eight hundred".