6828806250 has 480 divisors, whose sum is σ = 22867536384. Its totient is φ = 1490400000.

The previous prime is 6828806197. The next prime is 6828806323. The reversal of 6828806250 is 526088286.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 6828806196 and 6828806205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 145293727 + ... + 145293773.

Almost surely, 2^6828806250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6828806250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11433768192).

6828806250 is an abundant number, since it is smaller than the sum of its proper divisors (16038730134).

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

6828806250 is an equidigital number, since it uses as much as digits as its factorization.

6828806250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 6828806250 is about 82636.5914713331. The cubic root of 6828806250 is about 1897.2079257987.

The spelling of 6828806250 in words is "six billion, eight hundred twenty-eight million, eight hundred six thousand, two hundred fifty".