29128 has 16 divisors (see below), whose sum is σ = 59760. Its totient is φ = 13200.

The previous prime is 29123. The next prime is 29129. The reversal of 29128 is 82192.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 29099 and 29108.

It is not an unprimeable number, because it can be changed into a prime (29123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 78 + ... + 253.

It is an arithmetic number, because the mean of its divisors is an integer number (3735).

2²⁹¹²⁸ is an apocalyptic number.

It is an amenable number.

29128 is an abundant number, since it is smaller than the sum of its proper divisors (30632).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29880).

29128 is a wasteful number, since it uses less digits than its factorization.

29128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its digits is 288, while the sum is 22.

The square root of 29128 is about 170.6692708135. The cubic root of 29128 is about 30.7683038182.

The spelling of 29128 in words is "twenty-nine thousand, one hundred twenty-eight".