29288 has 16 divisors (see below), whose sum is σ = 62880. Its totient is φ = 12528.

The previous prime is 29287. The next prime is 29297. The reversal of 29288 is 88292.

It is an Ulam number.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 29288.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29288.

It is not an unprimeable number, because it can be changed into a prime (29287) 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, 206 + ... + 317.

It is an arithmetic number, because the mean of its divisors is an integer number (3930).

2²⁹²⁸⁸ is an apocalyptic number.

29288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29288 is an abundant number, since it is smaller than the sum of its proper divisors (33592).

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 (31440).

29288 is a wasteful number, since it uses less digits than its factorization.

29288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its digits is 2304, while the sum is 29.

The square root of 29288 is about 171.1373717223. The cubic root of 29288 is about 30.8245377071.

The spelling of 29288 in words is "twenty-nine thousand, two hundred eighty-eight".