728819 has 8 divisors (see below), whose sum is σ = 897120. Its totient is φ = 576576.

The previous prime is 728813. The next prime is 728831. The reversal of 728819 is 918827.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 728819 - 2¹² = 724723 is a prime.

It is a super-2 number, since 2×728819² = 1062354269522, which contains 22 as substring.

It is an Ulam number.

728819 is a modest number, since divided by 819 gives 728 as remainder.

It is not an unprimeable number, because it can be changed into a prime (728813) 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 7 ways as a sum of consecutive naturals, for example, 3914 + ... + 4095.

It is an arithmetic number, because the mean of its divisors is an integer number (112140).

2⁷²⁸⁸¹⁹ is an apocalyptic number.

728819 is a deficient number, since it is larger than the sum of its proper divisors (168301).

728819 is a wasteful number, since it uses less digits than its factorization.

728819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8029.

The product of its digits is 8064, while the sum is 35.

The square root of 728819 is about 853.7089668031. The cubic root of 728819 is about 89.9925508238.

The spelling of 728819 in words is "seven hundred twenty-eight thousand, eight hundred nineteen".