129428832 has 96 divisors (see below), whose sum is σ = 369042912. Its totient is φ = 39481344.

The previous prime is 129428821. The next prime is 129428833. The reversal of 129428832 is 238824921.

129428832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129428833) 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, 170598 + ... + 171354.

It is an arithmetic number, because the mean of its divisors is an integer number (3844197).

Almost surely, 2^129428832 is an apocalyptic number.

129428832 is a gapful number since it is divisible by the number (12) 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 129428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184521456).

129428832 is an abundant number, since it is smaller than the sum of its proper divisors (239614080).

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

129428832 is a wasteful number, since it uses less digits than its factorization.

129428832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 912 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 129428832 is about 11376.6793046126. The cubic root of 129428832 is about 505.8367098493.

The spelling of 129428832 in words is "one hundred twenty-nine million, four hundred twenty-eight thousand, eight hundred thirty-two".