200935728 has 280 divisors, whose sum is σ = 702597888. Its totient is φ = 54400896.

The previous prime is 200935727. The next prime is 200935729. The reversal of 200935728 is 827539002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (200935727) and next prime (200935729).

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

It is a junction number, because it is equal to n+sod(n) for n = 200935692 and 200935701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200935727) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 1877851 + ... + 1877957.

Almost surely, 2^200935728 is an apocalyptic number.

200935728 is a gapful number since it is divisible by the number (28) 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 200935728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351298944).

200935728 is an abundant number, since it is smaller than the sum of its proper divisors (501662160).

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

200935728 is a wasteful number, since it uses less digits than its factorization.

200935728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 200935728 is about 14175.1799988572. The cubic root of 200935728 is about 585.7141574006.

The spelling of 200935728 in words is "two hundred million, nine hundred thirty-five thousand, seven hundred twenty-eight".