6828196000 has 96 divisors (see below), whose sum is σ = 16931874960. Its totient is φ = 2706048000.

The previous prime is 6828195989. The next prime is 6828196007. The reversal of 6828196000 is 6918286.

It can be written as a sum of positive squares in 8 ways, for example, as 2342947216 + 4485248784 = 48404^2 + 66972^2 .

It is a super-2 number, since 2×6828196000² = 93248521228832000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6828196007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428170 + ... + 443830.

Almost surely, 2^6828196000 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 6828196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8465937480).

6828196000 is an abundant number, since it is smaller than the sum of its proper divisors (10103678960).

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

6828196000 is a wasteful number, since it uses less digits than its factorization.

6828196000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15795 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 6828196000 is about 82632.8990172800. The cubic root of 6828196000 is about 1897.1514100337.

The spelling of 6828196000 in words is "six billion, eight hundred twenty-eight million, one hundred ninety-six thousand".