728144 has 20 divisors (see below), whose sum is σ = 1494324. Its totient is φ = 342528.

The previous prime is 728131. The next prime is 728173. The reversal of 728144 is 441827.

It can be written as a sum of positive squares in 2 ways, for example, as 238144 + 490000 = 488^2 + 700^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 728144.

It is an unprimeable number.

728144 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 3 ways as a sum of consecutive naturals, for example, 1067 + ... + 1610.

2⁷²⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

728144 is an abundant number, since it is smaller than the sum of its proper divisors (766180).

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

728144 is a wasteful number, since it uses less digits than its factorization.

728144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2696 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 728144 is about 853.3135414371. The cubic root of 728144 is about 89.9647598658.

The spelling of 728144 in words is "seven hundred twenty-eight thousand, one hundred forty-four".