29848 has 32 divisors (see below), whose sum is σ = 70560. Its totient is φ = 11520.

The previous prime is 29837. The next prime is 29851. The reversal of 29848 is 84892.

29848 is nontrivially palindromic in base 3 and base 9.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

29848 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, 708 + ... + 748.

It is an arithmetic number, because the mean of its divisors is an integer number (2205).

2²⁹⁸⁴⁸ is an apocalyptic number.

29848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35280).

29848 is an abundant number, since it is smaller than the sum of its proper divisors (40712).

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

29848 is a wasteful number, since it uses less digits than its factorization.

29848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 63 counting only the distinct ones).

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

The square root of 29848 is about 172.7657373440. The cubic root of 29848 is about 31.0197584757.

It can be divided in two parts, 2984 and 8, that added together give a palindrome (2992).

The spelling of 29848 in words is "twenty-nine thousand, eight hundred forty-eight".