5828256000 has 864 divisors, whose sum is σ = 24871392000. Its totient is φ = 1309593600.

The previous prime is 5828255999. The next prime is 5828256011. The reversal of 5828256000 is 6528285.

5828256000 is a `hidden beast` number, since 5 + 8 + 28 + 25 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98783971 + ... + 98784029.

Almost surely, 2^5828256000 is an apocalyptic number.

5828256000 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 5828256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435696000).

5828256000 is an abundant number, since it is smaller than the sum of its proper divisors (19043136000).

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

5828256000 is an equidigital number, since it uses as much as digits as its factorization.

5828256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5828256000 is about 76343.0153976118. The cubic root of 5828256000 is about 1799.6147323589.

The spelling of 5828256000 in words is "five billion, eight hundred twenty-eight million, two hundred fifty-six thousand".