6822908928 has 528 divisors, whose sum is σ = 23589693504. Its totient is φ = 1875640320.

The previous prime is 6822908923. The next prime is 6822908929. The reversal of 6822908928 is 8298092286.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6822908921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63765451 + ... + 63765557.

Almost surely, 2^6822908928 is an apocalyptic number.

6822908928 is a gapful number since it is divisible by the number (68) 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 6822908928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11794846752).

6822908928 is an abundant number, since it is smaller than the sum of its proper divisors (16766784576).

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

6822908928 is a wasteful number, since it uses less digits than its factorization.

6822908928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 6822908928 is about 82600.9014962912. The cubic root of 6822908928 is about 1896.6616288356.

The spelling of 6822908928 in words is "six billion, eight hundred twenty-two million, nine hundred eight thousand, nine hundred twenty-eight".