29268 has 24 divisors (see below), whose sum is σ = 76160. Its totient is φ = 9720.

The previous prime is 29251. The next prime is 29269. The reversal of 29268 is 86292.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29269) by changing a digit.

29268 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 28 + ... + 243.

2²⁹²⁶⁸ 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 29268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38080).

29268 is an abundant number, since it is smaller than the sum of its proper divisors (46892).

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

29268 is a wasteful number, since it uses less digits than its factorization.

29268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 29268 is about 171.0789291526. The cubic root of 29268 is about 30.8175196890.

Subtracting from 29268 its sum of digits (27), we obtain a square (29241 = 171²).

The spelling of 29268 in words is "twenty-nine thousand, two hundred sixty-eight".