728028 has 72 divisors (see below), whose sum is σ = 2201472. Its totient is φ = 206064.

The previous prime is 728027. The next prime is 728047. The reversal of 728028 is 820827.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 727992 and 728010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6751 + ... + 6857.

It is an arithmetic number, because the mean of its divisors is an integer number (30576).

2⁷²⁸⁰²⁸ 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 728028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736).

728028 is an abundant number, since it is smaller than the sum of its proper divisors (1473444).

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

728028 is a wasteful number, since it uses less digits than its factorization.

728028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 728028 is about 853.2455684034. The cubic root of 728028 is about 89.9599822090.

It can be divided in two parts, 72 and 8028, that added together give a square (8100 = 90²).

The spelling of 728028 in words is "seven hundred twenty-eight thousand, twenty-eight".