828040000 has 140 divisors (see below), whose sum is σ = 2082133504. Its totient is φ = 326592000.

The previous prime is 828039967. The next prime is 828040009. The reversal of 828040000 is 40828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828040009) by changing a digit.

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, 5079919 + ... + 5080081.

Almost surely, 2^828040000 is an apocalyptic number.

828040000 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 828040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041066752).

828040000 is an abundant number, since it is smaller than the sum of its proper divisors (1254093504).

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

828040000 is a wasteful number, since it uses less digits than its factorization.

828040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 828040000 is about 28775.6841795291. The cubic root of 828040000 is about 939.0393082193.

Adding to 828040000 its reverse (40828), we get a palindrome (828080828).

The spelling of 828040000 in words is "eight hundred twenty-eight million, forty thousand".