728834232 has 96 divisors (see below), whose sum is σ = 2125872000. Its totient is φ = 207619776.

The previous prime is 728834213. The next prime is 728834233. The reversal of 728834232 is 232438827.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (728834233) 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 23 ways as a sum of consecutive naturals, for example, 520269 + ... + 521667.

It is an arithmetic number, because the mean of its divisors is an integer number (22144500).

Almost surely, 2^728834232 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 728834232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062936000).

728834232 is an abundant number, since it is smaller than the sum of its proper divisors (1397037768).

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

728834232 is a wasteful number, since it uses less digits than its factorization.

728834232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1865 (or 1854 counting only the distinct ones).

The product of its digits is 129024, while the sum is 39.

The square root of 728834232 is about 26996.9300476925. The cubic root of 728834232 is about 899.9317775447.

The spelling of 728834232 in words is "seven hundred twenty-eight million, eight hundred thirty-four thousand, two hundred thirty-two".