429832128 has 112 divisors (see below), whose sum is σ = 1269772416. Its totient is φ = 127196160.

The previous prime is 429832121. The next prime is 429832129. The reversal of 429832128 is 821238924.

It is a super-2 number, since 2×429832128² = 369511316522016768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (429832121) 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, 88450 + ... + 93182.

Almost surely, 2^429832128 is an apocalyptic number.

429832128 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 429832128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634886208).

429832128 is an abundant number, since it is smaller than the sum of its proper divisors (839940288).

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

429832128 is a wasteful number, since it uses less digits than its factorization.

429832128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4802 (or 4792 counting only the distinct ones).

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

The square root of 429832128 is about 20732.3932048377. The cubic root of 429832128 is about 754.6859960560.

The spelling of 429832128 in words is "four hundred twenty-nine million, eight hundred thirty-two thousand, one hundred twenty-eight".