129288768 has 224 divisors, whose sum is σ = 423306240. Its totient is φ = 34007040.

The previous prime is 129288743. The next prime is 129288769. The reversal of 129288768 is 867882921.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 129288768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129288769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1557655 + ... + 1557737.

It is an arithmetic number, because the mean of its divisors is an integer number (1889760).

Almost surely, 2^129288768 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 129288768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211653120).

129288768 is an abundant number, since it is smaller than the sum of its proper divisors (294017472).

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

129288768 is a wasteful number, since it uses less digits than its factorization.

129288768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 129288768 is about 11370.5218877587. The cubic root of 129288768 is about 505.6541768843.

The spelling of 129288768 in words is "one hundred twenty-nine million, two hundred eighty-eight thousand, seven hundred sixty-eight".