729828 has 72 divisors (see below), whose sum is σ = 2140320. Its totient is φ = 207360.

The previous prime is 729821. The next prime is 729851. The reversal of 729828 is 828927.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 729792 and 729801.

It is not an unprimeable number, because it can be changed into a prime (729821) 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, 7476 + ... + 7572.

2⁷²⁹⁸²⁸ 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 729828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070160).

729828 is an abundant number, since it is smaller than the sum of its proper divisors (1410492).

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

729828 is a wasteful number, since it uses less digits than its factorization.

729828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 132 counting only the distinct ones).

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

The square root of 729828 is about 854.2997132154. The cubic root of 729828 is about 90.0340611817.

Subtracting 729828 from its reverse (828927), we obtain a palindrome (99099).

The spelling of 729828 in words is "seven hundred twenty-nine thousand, eight hundred twenty-eight".