828684000 has 192 divisors, whose sum is σ = 3016802880. Its totient is φ = 220953600.

The previous prime is 828683981. The next prime is 828684001. The reversal of 828684000 is 486828.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828684001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104164 + ... + 111836.

It is an arithmetic number, because the mean of its divisors is an integer number (15712515).

Almost surely, 2^828684000 is an apocalyptic number.

828684000 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 828684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508401440).

828684000 is an abundant number, since it is smaller than the sum of its proper divisors (2188118880).

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

828684000 is a wasteful number, since it uses less digits than its factorization.

828684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7707 (or 7683 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 828684000 is about 28786.8720079136. The cubic root of 828684000 is about 939.2826880097.

It can be divided in two parts, 82868 and 4000, that added together give a palindrome (86868).

The spelling of 828684000 in words is "eight hundred twenty-eight million, six hundred eighty-four thousand".