2830828000 has 576 divisors, whose sum is σ = 9599518656. Its totient is φ = 806400000.

The previous prime is 2830827983. The next prime is 2830828019. The reversal of 2830828000 is 8280382.

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 95 ways as a sum of consecutive naturals, for example, 28027950 + ... + 28028050.

It is an arithmetic number, because the mean of its divisors is an integer number (16665831).

Almost surely, 2^2830828000 is an apocalyptic number.

2830828000 is a gapful number since it is divisible by the number (20) 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 2830828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799759328).

2830828000 is an abundant number, since it is smaller than the sum of its proper divisors (6768690656).

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

2830828000 is a wasteful number, since it uses less digits than its factorization.

2830828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 2830828000 is about 53205.5260287876. The cubic root of 2830828000 is about 1414.6135950825.

The spelling of 2830828000 in words is "two billion, eight hundred thirty million, eight hundred twenty-eight thousand".