6828235200 has 840 divisors, whose sum is σ = 27439315200. Its totient is φ = 1659709440.

The previous prime is 6828235171. The next prime is 6828235241. The reversal of 6828235200 is 25328286.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 115732771 + ... + 115732829.

Almost surely, 2^6828235200 is an apocalyptic number.

6828235200 is a gapful number since it is divisible by the number (60) 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 6828235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13719657600).

6828235200 is an abundant number, since it is smaller than the sum of its proper divisors (20611080000).

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

6828235200 is a wasteful number, since it uses less digits than its factorization.

6828235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6828235200 is about 82633.1362106026. The cubic root of 6828235200 is about 1897.1550404799.

The spelling of 6828235200 in words is "six billion, eight hundred twenty-eight million, two hundred thirty-five thousand, two hundred".