129328320 has 224 divisors, whose sum is σ = 461442816. Its totient is φ = 30412800.

The previous prime is 129328273. The next prime is 129328327. The reversal of 129328320 is 23823921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (129328327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390555 + ... + 390885.

Almost surely, 2^129328320 is an apocalyptic number.

129328320 is a gapful number since it is divisible by the number (10) 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 129328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230721408).

129328320 is an abundant number, since it is smaller than the sum of its proper divisors (332114496).

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

129328320 is a wasteful number, since it uses less digits than its factorization.

129328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 129328320 is about 11372.2609889151. The cubic root of 129328320 is about 505.7057348431.

The spelling of 129328320 in words is "one hundred twenty-nine million, three hundred twenty-eight thousand, three hundred twenty".