828530000 has 100 divisors (see below), whose sum is σ = 2075851140. Its totient is φ = 319872000.

The previous prime is 828529993. The next prime is 828530023. The reversal of 828530000 is 35828.

It can be written as a sum of positive squares in 10 ways, for example, as 562448656 + 266081344 = 23716^2 + 16312^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 288572 + ... + 291428.

Almost surely, 2^828530000 is an apocalyptic number.

828530000 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 828530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037925570).

828530000 is an abundant number, since it is smaller than the sum of its proper divisors (1247321140).

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

828530000 is a wasteful number, since it uses less digits than its factorization.

828530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 828530000 is about 28784.1970532443. The cubic root of 828530000 is about 939.2244999689.

Adding to 828530000 its reverse (35828), we get a palindrome (828565828).

The spelling of 828530000 in words is "eight hundred twenty-eight million, five hundred thirty thousand".