429184128 has 64 divisors (see below), whose sum is σ = 1145639520. Its totient is φ = 142356480.

The previous prime is 429184097. The next prime is 429184139. The reversal of 429184128 is 821481924.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78376 + ... + 83672.

Almost surely, 2^429184128 is an apocalyptic number.

429184128 is a gapful number since it is divisible by the number (48) 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 429184128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572819760).

429184128 is an abundant number, since it is smaller than the sum of its proper divisors (716455392).

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

429184128 is a wasteful number, since it uses less digits than its factorization.

429184128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5525 (or 5513 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 429184128 is about 20716.7595921756. The cubic root of 429184128 is about 754.3065591773.

The spelling of 429184128 in words is "four hundred twenty-nine million, one hundred eighty-four thousand, one hundred twenty-eight".