828902400 has 264 divisors, whose sum is σ = 2814444864. Its totient is φ = 215040000.

The previous prime is 828902377. The next prime is 828902407. The reversal of 828902400 is 4209828.

It is not an unprimeable number, because it can be changed into a prime (828902407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3302275 + ... + 3302525.

It is an arithmetic number, because the mean of its divisors is an integer number (10660776).

Almost surely, 2^828902400 is an apocalyptic number.

828902400 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 828902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407222432).

828902400 is an abundant number, since it is smaller than the sum of its proper divisors (1985542464).

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

828902400 is a wasteful number, since it uses less digits than its factorization.

828902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 828902400 is about 28790.6651538307. The cubic root of 828902400 is about 939.3651968712.

The spelling of 828902400 in words is "eight hundred twenty-eight million, nine hundred two thousand, four hundred".