728500 has 48 divisors (see below), whose sum is σ = 1677312. Its totient is φ = 276000.

The previous prime is 728489. The next prime is 728521. The reversal of 728500 is 5827.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 15477 + ... + 15523.

It is an arithmetic number, because the mean of its divisors is an integer number (34944).

2⁷²⁸⁵⁰⁰ 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 728500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838656).

728500 is an abundant number, since it is smaller than the sum of its proper divisors (948812).

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

728500 is a wasteful number, since it uses less digits than its factorization.

728500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 728500 is about 853.5221145348. The cubic root of 728500 is about 89.9794191623.

The spelling of 728500 in words is "seven hundred twenty-eight thousand, five hundred".