429713928 has 108 divisors (see below), whose sum is σ = 1357708365. Its totient is φ = 122423616.

The previous prime is 429713923. The next prime is 429713941. The reversal of 429713928 is 829317924.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 404733924 + 24980004 = 20118^2 + 4998^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14658.

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

It is not an unprimeable number, because it can be changed into a prime (429713923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1231098 + ... + 1231446.

Almost surely, 2^429713928 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 429713928

429713928 is an abundant number, since it is smaller than the sum of its proper divisors (927994437).

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

429713928 is a wasteful number, since it uses less digits than its factorization.

429713928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 361 counting only the distinct ones).

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

The square root of 429713928 is about 20729.5423972648. The cubic root of 429713928 is about 754.6168124089.

It can be divided in two parts, 4297 and 13928, that added together give a square (18225 = 135²).

The spelling of 429713928 in words is "four hundred twenty-nine million, seven hundred thirteen thousand, nine hundred twenty-eight".