828645600 has 144 divisors (see below), whose sum is σ = 2707326720. Its totient is φ = 220147200.

The previous prime is 828645589. The next prime is 828645617. The reversal of 828645600 is 6546828.

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, 909145 + ... + 910055.

It is an arithmetic number, because the mean of its divisors is an integer number (18800880).

Almost surely, 2^828645600 is an apocalyptic number.

828645600 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 828645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353663360).

828645600 is an abundant number, since it is smaller than the sum of its proper divisors (1878681120).

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

828645600 is a wasteful number, since it uses less digits than its factorization.

828645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 828645600 is about 28786.2050294929. The cubic root of 828645600 is about 939.2681794587.

The spelling of 828645600 in words is "eight hundred twenty-eight million, six hundred forty-five thousand, six hundred".