200193728 has 112 divisors (see below), whose sum is σ = 494995200. Its totient is φ = 78382080.

The previous prime is 200193703. The next prime is 200193731. The reversal of 200193728 is 827391002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a cake number, because a cake can be divided into 200193728 parts by 1063 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 200193694 and 200193703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246443 + ... + 247253.

It is an arithmetic number, because the mean of its divisors is an integer number (4419600).

Almost surely, 2^200193728 is an apocalyptic number.

200193728 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 200193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247497600).

200193728 is an abundant number, since it is smaller than the sum of its proper divisors (294801472).

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

200193728 is a wasteful number, since it uses less digits than its factorization.

200193728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 200193728 is about 14148.9832850279. The cubic root of 200193728 is about 584.9923080782.

The spelling of 200193728 in words is "two hundred million, one hundred ninety-three thousand, seven hundred twenty-eight".