728936 has 32 divisors (see below), whose sum is σ = 1515360. Its totient is φ = 326592.

The previous prime is 728929. The next prime is 728941. The reversal of 728936 is 639827.

728936 is a modest number, since divided by 936 gives 728 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 728896 and 728905.

It is an unprimeable number.

728936 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4391 + ... + 4553.

It is an arithmetic number, because the mean of its divisors is an integer number (47355).

2⁷²⁸⁹³⁶ 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 728936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757680).

728936 is an abundant number, since it is smaller than the sum of its proper divisors (786424).

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

728936 is a wasteful number, since it uses less digits than its factorization.

728936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 18144, while the sum is 35.

The square root of 728936 is about 853.7774885765. Note that the first 3 decimals coincide. The cubic root of 728936 is about 89.9973661781.

The spelling of 728936 in words is "seven hundred twenty-eight thousand, nine hundred thirty-six".