728016 has 40 divisors (see below), whose sum is σ = 1949280. Its totient is φ = 233856.

The previous prime is 728003. The next prime is 728017. The reversal of 728016 is 610827.

728016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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

728016 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1131 + ... + 1653.

It is an arithmetic number, because the mean of its divisors is an integer number (48732).

2⁷²⁸⁰¹⁶ 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 728016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974640).

728016 is an abundant number, since it is smaller than the sum of its proper divisors (1221264).

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

728016 is a wasteful number, since it uses less digits than its factorization.

728016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 728016 is about 853.2385364012. The cubic root of 728016 is about 89.9594879397.

The spelling of 728016 in words is "seven hundred twenty-eight thousand, sixteen".