828360000 has 560 divisors, whose sum is σ = 3332683200. Its totient is φ = 200448000.

The previous prime is 828359993. The next prime is 828360011. The reversal of 828360000 is 63828.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14039971 + ... + 14040029.

It is an arithmetic number, because the mean of its divisors is an integer number (5951220).

Almost surely, 2^828360000 is an apocalyptic number.

828360000 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 828360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666341600).

828360000 is an abundant number, since it is smaller than the sum of its proper divisors (2504323200).

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

828360000 is a wasteful number, since it uses less digits than its factorization.

828360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 828360000 is about 28781.2438925075. The cubic root of 828360000 is about 939.1602580438.

The spelling of 828360000 in words is "eight hundred twenty-eight million, three hundred sixty thousand".