129528880 has 80 divisors (see below), whose sum is σ = 326229120. Its totient is φ = 47545344.

The previous prime is 129528859. The next prime is 129528911. The reversal of 129528880 is 88825921.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 279529 + ... + 279991.

It is an arithmetic number, because the mean of its divisors is an integer number (4077864).

Almost surely, 2^129528880 is an apocalyptic number.

129528880 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 129528880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163114560).

129528880 is an abundant number, since it is smaller than the sum of its proper divisors (196700240).

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

129528880 is a wasteful number, since it uses less digits than its factorization.

With its successor (129528881) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (752).

129528880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 129528880 is about 11381.0755203540. The cubic root of 129528880 is about 505.9670129047.

The spelling of 129528880 in words is "one hundred twenty-nine million, five hundred twenty-eight thousand, eight hundred eighty".