828307200 has 216 divisors, whose sum is σ = 3124605568. Its totient is φ = 189296640.

The previous prime is 828307163. The next prime is 828307231. The reversal of 828307200 is 2703828.

828307200 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131319 + ... + 137481.

Almost surely, 2^828307200 is an apocalyptic number.

828307200 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 828307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562302784).

828307200 is an abundant number, since it is smaller than the sum of its proper divisors (2296298368).

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

828307200 is a wasteful number, since it uses less digits than its factorization.

828307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 828307200 is about 28780.3266138520. The cubic root of 828307200 is about 939.1403034688.

The spelling of 828307200 in words is "eight hundred twenty-eight million, three hundred seven thousand, two hundred".