5658828000 has 768 divisors, whose sum is σ = 23096586240. Its totient is φ = 1182720000.

The previous prime is 5658827963. The next prime is 5658828011. The reversal of 5658828000 is 8288565.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56027950 + ... + 56028050.

It is an arithmetic number, because the mean of its divisors is an integer number (30073680).

Almost surely, 2^5658828000 is an apocalyptic number.

5658828000 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 5658828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11548293120).

5658828000 is an abundant number, since it is smaller than the sum of its proper divisors (17437758240).

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

5658828000 is a wasteful number, since it uses less digits than its factorization.

5658828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 5658828000 is about 75225.1819539175. The cubic root of 5658828000 is about 1782.0046430012.

The spelling of 5658828000 in words is "five billion, six hundred fifty-eight million, eight hundred twenty-eight thousand".