728919 has 10 divisors (see below), whose sum is σ = 1089000. Its totient is φ = 485892.

The previous prime is 728911. The next prime is 728921. The reversal of 728919 is 919827.

It is a happy number.

It is not a de Polignac number, because 728919 - 2³ = 728911 is a prime.

It is a super-2 number, since 2×728919² = 1062645817122, which contains 22 as substring.

728919 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4419 + ... + 4580.

It is an arithmetic number, because the mean of its divisors is an integer number (108900).

2⁷²⁸⁹¹⁹ is an apocalyptic number.

728919 is a deficient number, since it is larger than the sum of its proper divisors (360081).

728919 is an equidigital number, since it uses as much as digits as its factorization.

728919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9011 (or 9002 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 728919 is about 853.7675327629. The cubic root of 728919 is about 89.9966665432.

It can be divided in two parts, 72891 and 9, that added together give a square (72900 = 270²).

The spelling of 728919 in words is "seven hundred twenty-eight thousand, nine hundred nineteen".