828367200 has 216 divisors, whose sum is σ = 2952029808. Its totient is φ = 218557440.

The previous prime is 828367193. The next prime is 828367237. The reversal of 828367200 is 2763828.

It is a happy number.

828367200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 741042 + ... + 742158.

Almost surely, 2^828367200 is an apocalyptic number.

828367200 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 828367200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476014904).

828367200 is an abundant number, since it is smaller than the sum of its proper divisors (2123662608).

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

828367200 is a wasteful number, since it uses less digits than its factorization.

828367200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 828367200 is about 28781.3689736955. The cubic root of 828367200 is about 939.1629790565.

The spelling of 828367200 in words is "eight hundred twenty-eight million, three hundred sixty-seven thousand, two hundred".