5828306000 has 320 divisors, whose sum is σ = 16147752192. Its totient is φ = 2016000000.

The previous prime is 5828305991. The next prime is 5828306041. The reversal of 5828306000 is 6038285.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57705950 + ... + 57706050.

Almost surely, 2^5828306000 is an apocalyptic number.

5828306000 is a gapful number since it is divisible by the number (50) 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 5828306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8073876096).

5828306000 is an abundant number, since it is smaller than the sum of its proper divisors (10319446192).

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

5828306000 is a wasteful number, since it uses less digits than its factorization.

5828306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 5828306000 is about 76343.3428662906. The cubic root of 5828306000 is about 1799.6198785799.

The spelling of 5828306000 in words is "five billion, eight hundred twenty-eight million, three hundred six thousand".