728992 has 48 divisors (see below), whose sum is σ = 1663200. Its totient is φ = 311040.

The previous prime is 728971. The next prime is 728993. The reversal of 728992 is 299827.

728992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (728993) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6634 + ... + 6742.

It is an arithmetic number, because the mean of its divisors is an integer number (34650).

2⁷²⁸⁹⁹² 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 728992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831600).

728992 is an abundant number, since it is smaller than the sum of its proper divisors (934208).

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

728992 is a wasteful number, since it uses less digits than its factorization.

728992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 141 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 728992 is about 853.8102833768. The cubic root of 728992 is about 89.9996707807. Note that the first 3 decimals are identical.

It can be divided in two parts, 7289 and 92, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 728992 in words is "seven hundred twenty-eight thousand, nine hundred ninety-two".