429428832 has 96 divisors (see below), whose sum is σ = 1304755200. Its totient is φ = 121125888.

The previous prime is 429428821. The next prime is 429428849. The reversal of 429428832 is 238824924.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49044 + ... + 57132.

It is an arithmetic number, because the mean of its divisors is an integer number (13591200).

Almost surely, 2^429428832 is an apocalyptic number.

429428832 is a gapful number since it is divisible by the number (42) 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 429428832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652377600).

429428832 is an abundant number, since it is smaller than the sum of its proper divisors (875326368).

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

429428832 is a wasteful number, since it uses less digits than its factorization.

429428832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8188 (or 8180 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 429428832 is about 20722.6646935185. The cubic root of 429428832 is about 754.4498906372.

The spelling of 429428832 in words is "four hundred twenty-nine million, four hundred twenty-eight thousand, eight hundred thirty-two".