29328 has 40 divisors (see below), whose sum is σ = 83328. Its totient is φ = 8832.

The previous prime is 29327. The next prime is 29333. The reversal of 29328 is 82392.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 29298 and 29307.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29328.

It is not an unprimeable number, because it can be changed into a prime (29327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 601 + ... + 647.

2²⁹³²⁸ 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 29328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664).

29328 is an abundant number, since it is smaller than the sum of its proper divisors (54000).

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

29328 is a wasteful number, since it uses less digits than its factorization.

29328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 65 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 29328 is about 171.2541970289. The cubic root of 29328 is about 30.8385641641.

The spelling of 29328 in words is "twenty-nine thousand, three hundred twenty-eight".