728829 has 12 divisors (see below), whose sum is σ = 1075776. Its totient is φ = 475272.

The previous prime is 728813. The next prime is 728831. The reversal of 728829 is 928827.

It is not a de Polignac number, because 728829 - 2⁴ = 728813 is a prime.

It is a super-2 number, since 2×728829² = 1062383422482, which contains 22 as substring.

728829 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 728793 and 728802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439 + ... + 1284.

It is an arithmetic number, because the mean of its divisors is an integer number (89648).

2⁷²⁸⁸²⁹ is an apocalyptic number.

It is an amenable number.

728829 is a deficient number, since it is larger than the sum of its proper divisors (346947).

728829 is a wasteful number, since it uses less digits than its factorization.

728829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1773 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 728829 is about 853.7148235799. The cubic root of 728829 is about 89.9929624127.

The spelling of 728829 in words is "seven hundred twenty-eight thousand, eight hundred twenty-nine".