26828633328 has 80 divisors (see below), whose sum is σ = 79323661056. Its totient is φ = 7654164480.

The previous prime is 26828633303. The next prime is 26828633357. The reversal of 26828633328 is 82333682862.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174400 + ... + 289952.

Almost surely, 2^26828633328 is an apocalyptic number.

26828633328 is a gapful number since it is divisible by the number (28) 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 26828633328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39661830528).

26828633328 is an abundant number, since it is smaller than the sum of its proper divisors (52495027728).

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

26828633328 is a wasteful number, since it uses less digits than its factorization.

26828633328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116262 (or 116256 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 51.

The spelling of 26828633328 in words is "twenty-six billion, eight hundred twenty-eight million, six hundred thirty-three thousand, three hundred twenty-eight".