29148 has 24 divisors (see below), whose sum is σ = 77952. Its totient is φ = 8304.

The previous prime is 29147. The next prime is 29153. The reversal of 29148 is 84192.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29148.

It is not an unprimeable number, because it can be changed into a prime (29147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 257.

It is an arithmetic number, because the mean of its divisors is an integer number (3248).

2²⁹¹⁴⁸ is an apocalyptic number.

29148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29148 is an abundant number, since it is smaller than the sum of its proper divisors (48804).

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 (38976).

29148 is a wasteful number, since it uses less digits than its factorization.

29148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 359 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 29148 is about 170.7278536150. The cubic root of 29148 is about 30.7753442980.

The spelling of 29148 in words is "twenty-nine thousand, one hundred forty-eight".