129408288 has 96 divisors (see below), whose sum is σ = 349272000. Its totient is φ = 41942016.

The previous prime is 129408287. The next prime is 129408313. The reversal of 129408288 is 882804921.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (129408287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 868438 + ... + 868586.

It is an arithmetic number, because the mean of its divisors is an integer number (3638250).

Almost surely, 2^129408288 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 129408288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174636000).

129408288 is an abundant number, since it is smaller than the sum of its proper divisors (219863712).

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

129408288 is a wasteful number, since it uses less digits than its factorization.

129408288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 129408288 is about 11375.7763691099. The cubic root of 129408288 is about 505.8099449235.

The spelling of 129408288 in words is "one hundred twenty-nine million, four hundred eight thousand, two hundred eighty-eight".