26828484144 has 80 divisors (see below), whose sum is σ = 86408636160. Its totient is φ = 6968436480.

The previous prime is 26828484143. The next prime is 26828484149. The reversal of 26828484144 is 44148482862.

It is a happy number.

It is a super-3 number, since 3×26828484144³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (26828484143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3625699 + ... + 3633090.

It is an arithmetic number, because the mean of its divisors is an integer number (1080107952).

Almost surely, 2^26828484144 is an apocalyptic number.

26828484144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26828484144 is an abundant number, since it is smaller than the sum of its proper divisors (59580152016).

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

26828484144 is a wasteful number, since it uses less digits than its factorization.

26828484144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7258818 (or 7258812 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 51.

The spelling of 26828484144 in words is "twenty-six billion, eight hundred twenty-eight million, four hundred eighty-four thousand, one hundred forty-four".