29008 has 30 divisors (see below), whose sum is σ = 67146. Its totient is φ = 12096.

The previous prime is 28979. The next prime is 29009. The reversal of 29008 is 80092.

29008 = 1⁵ + 2⁵ + ... + 7⁵.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 784 = 168^2 + 28^2 .

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 15.

It is a nialpdrome in base 14.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29009) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 766 + ... + 802.

2²⁹⁰⁰⁸ is an apocalyptic number.

29008 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 29008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33573).

29008 is an abundant number, since it is smaller than the sum of its proper divisors (38138).

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

29008 is a wasteful number, since it uses less digits than its factorization.

29008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 29008 is about 170.3173508484. The cubic root of 29008 is about 30.7259931160.

The spelling of 29008 in words is "twenty-nine thousand, eight".