29488 has 20 divisors (see below), whose sum is σ = 60760. Its totient is φ = 13824.

The previous prime is 29483. The next prime is 29501. The reversal of 29488 is 88492.

It is a nialpdrome in base 14 and base 16.

It is a zygodrome in base 2 and base 3.

It is not an unprimeable number, because it can be changed into a prime (29483) by changing a digit.

29488 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 3 ways as a sum of consecutive naturals, for example, 256 + ... + 352.

It is an arithmetic number, because the mean of its divisors is an integer number (3038).

2²⁹⁴⁸⁸ 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 29488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30380).

29488 is an abundant number, since it is smaller than the sum of its proper divisors (31272).

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

29488 is a wasteful number, since it uses less digits than its factorization.

29488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 29488 is about 171.7207034693. The cubic root of 29488 is about 30.8945428024.

The spelling of 29488 in words is "twenty-nine thousand, four hundred eighty-eight".