828236000 has 96 divisors (see below), whose sum is σ = 2061521280. Its totient is φ = 326976000.

The previous prime is 828235987. The next prime is 828236023. The reversal of 828236000 is 632828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314690 + ... + 317310.

It is an arithmetic number, because the mean of its divisors is an integer number (21474180).

Almost surely, 2^828236000 is an apocalyptic number.

828236000 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 828236000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030760640).

828236000 is an abundant number, since it is smaller than the sum of its proper divisors (1233285280).

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

828236000 is a wasteful number, since it uses less digits than its factorization.

828236000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2725 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 828236000 is about 28779.0896311888. The cubic root of 828236000 is about 939.1133936839.

Adding to 828236000 its reverse (632828), we get a palindrome (828868828).

The spelling of 828236000 in words is "eight hundred twenty-eight million, two hundred thirty-six thousand".