728013 has 16 divisors (see below), whose sum is σ = 1141056. Its totient is φ = 407040.

The previous prime is 728003. The next prime is 728017. The reversal of 728013 is 310827.

It is not a de Polignac number, because 728013 - 2⁴ = 727997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (71316).

2⁷²⁸⁰¹³ is an apocalyptic number.

It is an amenable number.

728013 is a deficient number, since it is larger than the sum of its proper divisors (413043).

728013 is a wasteful number, since it uses less digits than its factorization.

728013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 728013 is about 853.2367783916. The cubic root of 728013 is about 89.9593643715.

The spelling of 728013 in words is "seven hundred twenty-eight thousand, thirteen".