203728 has 40 divisors (see below), whose sum is σ = 482112. Its totient is φ = 81408.

The previous prime is 203713. The next prime is 203761. The reversal of 203728 is 827302.

It is a happy number.

203728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 203699 and 203708.

It is a congruent number.

It is an unprimeable number.

203728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1851 + ... + 1957.

2²⁰³⁷²⁸ is an apocalyptic number.

203728 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 203728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241056).

203728 is an abundant number, since it is smaller than the sum of its proper divisors (278384).

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

203728 is a wasteful number, since it uses less digits than its factorization.

203728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 203728 is about 451.3623821277. The cubic root of 203728 is about 58.8414781306.

The spelling of 203728 in words is "two hundred three thousand, seven hundred twenty-eight".