29088 has 36 divisors (see below), whose sum is σ = 83538. Its totient is φ = 9600.

The previous prime is 29077. The next prime is 29101. The reversal of 29088 is 88092.

It can be written as a sum of positive squares in only one way, i.e., 17424 + 11664 = 132^2 + 108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×29088² = 1692223488, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29088.

It is an unprimeable number.

29088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238 + ... + 338.

2²⁹⁰⁸⁸ 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 29088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41769).

29088 is an abundant number, since it is smaller than the sum of its proper divisors (54450).

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

29088 is a wasteful number, since it uses less digits than its factorization.

29088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 29088 is about 170.5520448426. The cubic root of 29088 is about 30.7542131844.

It can be divided in two parts, 2908 and 8, that added together give a square (2916 = 54²).

The spelling of 29088 in words is "twenty-nine thousand, eighty-eight".