6826393728 has 384 divisors, whose sum is σ = 25101498240. Its totient is φ = 1728921600.

The previous prime is 6826393661. The next prime is 6826393733. The reversal of 6826393728 is 8273936286.

It is a happy number.

6826393728 is a `hidden beast` number, since 6 + 8 + 263 + 9 + 372 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3635926 + ... + 3637802.

It is an arithmetic number, because the mean of its divisors is an integer number (65368485).

Almost surely, 2^6826393728 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 6826393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550749120).

6826393728 is an abundant number, since it is smaller than the sum of its proper divisors (18275104512).

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

6826393728 is a wasteful number, since it uses less digits than its factorization.

6826393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1941 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 6826393728 is about 82621.9930042843. The cubic root of 6826393728 is about 1896.9844804506.

The spelling of 6826393728 in words is "six billion, eight hundred twenty-six million, three hundred ninety-three thousand, seven hundred twenty-eight".