129119328 has 72 divisors (see below), whose sum is σ = 395439408. Its totient is φ = 39727872.

The previous prime is 129119327. The next prime is 129119399. The reversal of 129119328 is 823911921.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 129119292 and 129119301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129119321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13500 + ... + 20987.

It is an arithmetic number, because the mean of its divisors is an integer number (5492214).

Almost surely, 2^129119328 is an apocalyptic number.

129119328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

129119328 is an abundant number, since it is smaller than the sum of its proper divisors (266320080).

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

129119328 is a wasteful number, since it uses less digits than its factorization.

129119328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34516 (or 34505 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 129119328 is about 11363.0685996345. The cubic root of 129119328 is about 505.4331844993.

The spelling of 129119328 in words is "one hundred twenty-nine million, one hundred nineteen thousand, three hundred twenty-eight".