29728 has 12 divisors (see below), whose sum is σ = 58590. Its totient is φ = 14848.

The previous prime is 29723. The next prime is 29741. The reversal of 29728 is 82792.

It can be written as a sum of positive squares in only one way, i.e., 29584 + 144 = 172^2 + 12^2 .

It is an Ulam number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 29696 and 29705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 433 + ... + 496.

2²⁹⁷²⁸ is an apocalyptic number.

It is an amenable number.

29728 is a deficient number, since it is larger than the sum of its proper divisors (28862).

29728 is an equidigital number, since it uses as much as digits as its factorization.

29728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 931 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 29728 is about 172.4180964980. The cubic root of 29728 is about 30.9781323407.

It can be divided in two parts, 297 and 28, that added together give a triangular number (325 = T₂₅).

The spelling of 29728 in words is "twenty-nine thousand, seven hundred twenty-eight".