728040 has 32 divisors (see below), whose sum is σ = 2184480. Its totient is φ = 194112.

The previous prime is 728027. The next prime is 728047. The reversal of 728040 is 40827.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 727998 and 728016.

It is not an unprimeable number, because it can be changed into a prime (728047) by changing a digit.

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, 2914 + ... + 3153.

It is an arithmetic number, because the mean of its divisors is an integer number (68265).

2⁷²⁸⁰⁴⁰ is an apocalyptic number.

It is an amenable number.

728040 is an abundant number, since it is smaller than the sum of its proper divisors (1456440).

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

728040 is a wasteful number, since it uses less digits than its factorization.

728040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6081 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 728040 is about 853.2526003476. The cubic root of 728040 is about 89.9604764729.

Adding to 728040 its reverse (40827), we get a palindrome (768867).

The spelling of 728040 in words is "seven hundred twenty-eight thousand, forty".