200859828 has 192 divisors, whose sum is σ = 579156480. Its totient is φ = 53526528.

The previous prime is 200859823. The next prime is 200859833. The reversal of 200859828 is 828958002.

It is an interprime number because it is at equal distance from previous prime (200859823) and next prime (200859833).

It is a self number, because there is not a number n which added to its sum of digits gives 200859828.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200859823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2256808 + ... + 2256896.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

Almost surely, 2^200859828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200859828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

200859828 is an abundant number, since it is smaller than the sum of its proper divisors (378296652).

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

200859828 is a wasteful number, since it uses less digits than its factorization.

200859828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 200859828 is about 14172.5025313104. The cubic root of 200859828 is about 585.6404003115.

The spelling of 200859828 in words is "two hundred million, eight hundred fifty-nine thousand, eight hundred twenty-eight".