728416 has 48 divisors (see below), whose sum is σ = 1651104. Its totient is φ = 313344.

The previous prime is 728383. The next prime is 728417. The reversal of 728416 is 614827.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728417) 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, 7021 + ... + 7123.

It is an arithmetic number, because the mean of its divisors is an integer number (34398).

2⁷²⁸⁴¹⁶ 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 728416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552).

728416 is an abundant number, since it is smaller than the sum of its proper divisors (922688).

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

728416 is a wasteful number, since it uses less digits than its factorization.

728416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 135 counting only the distinct ones).

The product of its digits is 2688, while the sum is 28.

The square root of 728416 is about 853.4729052524. The cubic root of 728416 is about 89.9759606578.

The spelling of 728416 in words is "seven hundred twenty-eight thousand, four hundred sixteen".