129479328 has 144 divisors (see below), whose sum is σ = 419380416. Its totient is φ = 37509120.

The previous prime is 129479269. The next prime is 129479333. The reversal of 129479328 is 823974921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71976 + ... + 73752.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2^129479328 is an apocalyptic number.

129479328 is a gapful number since it is divisible by the number (18) 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 129479328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209690208).

129479328 is an abundant number, since it is smaller than the sum of its proper divisors (289901088).

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

129479328 is a wasteful number, since it uses less digits than its factorization.

129479328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1816 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 129479328 is about 11378.8983649561. The cubic root of 129479328 is about 505.9024845020.

The spelling of 129479328 in words is "one hundred twenty-nine million, four hundred seventy-nine thousand, three hundred twenty-eight".