129433824 has 144 divisors (see below), whose sum is σ = 400667904. Its totient is φ = 39398400.

The previous prime is 129433813. The next prime is 129433831. The reversal of 129433824 is 428334921.

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

It is a super-2 number, since 2×129433824² = 33506229590525952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 677569 + ... + 677759.

It is an arithmetic number, because the mean of its divisors is an integer number (2782416).

Almost surely, 2^129433824 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 129433824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200333952).

129433824 is an abundant number, since it is smaller than the sum of its proper divisors (271234080).

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

129433824 is a wasteful number, since it uses less digits than its factorization.

129433824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 390 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 129433824 is about 11376.8986986788. The cubic root of 129433824 is about 505.8432130484.

The spelling of 129433824 in words is "one hundred twenty-nine million, four hundred thirty-three thousand, eight hundred twenty-four".