828232800 has 288 divisors, whose sum is σ = 2913563520. Its totient is φ = 203673600.

The previous prime is 828232799. The next prime is 828232817. The reversal of 828232800 is 8232828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1869379 + ... + 1869821.

It is an arithmetic number, because the mean of its divisors is an integer number (10116540).

Almost surely, 2^828232800 is an apocalyptic number.

828232800 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 828232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456781760).

828232800 is an abundant number, since it is smaller than the sum of its proper divisors (2085330720).

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

828232800 is a wasteful number, since it uses less digits than its factorization.

828232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 828232800 is about 28779.0340352139. The cubic root of 828232800 is about 939.1121842192.

The spelling of 828232800 in words is "eight hundred twenty-eight million, two hundred thirty-two thousand, eight hundred".