828202399200 has 432 divisors, whose sum is σ = 3239961379200. Its totient is φ = 197372236800.

The previous prime is 828202399153. The next prime is 828202399201. The reversal of 828202399200 is 2993202828.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828202399201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4584181 + ... + 4761419.

It is an arithmetic number, because the mean of its divisors is an integer number (7499910600).

Almost surely, 2^828202399200 is an apocalyptic number.

828202399200 is a gapful number since it is divisible by the number (80) 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 828202399200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619980689600).

828202399200 is an abundant number, since it is smaller than the sum of its proper divisors (2411758980000).

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

828202399200 is a wasteful number, since it uses less digits than its factorization.

828202399200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177335 (or 177319 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 828202399200 in words is "eight hundred twenty-eight billion, two hundred two million, three hundred ninety-nine thousand, two hundred".