129329328 has 80 divisors (see below), whose sum is σ = 352343520. Its totient is φ = 40814592.

The previous prime is 129329311. The next prime is 129329419. The reversal of 129329328 is 823923921.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72900 + ... + 74652.

It is an arithmetic number, because the mean of its divisors is an integer number (4404294).

Almost surely, 2^129329328 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 129329328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176171760).

129329328 is an abundant number, since it is smaller than the sum of its proper divisors (223014192).

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

129329328 is a wasteful number, since it uses less digits than its factorization.

129329328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1840 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 129329328 is about 11372.3053071926. The cubic root of 129329328 is about 505.7070486828.

The spelling of 129329328 in words is "one hundred twenty-nine million, three hundred twenty-nine thousand, three hundred twenty-eight".