429728 has 24 divisors (see below), whose sum is σ = 911988. Its totient is φ = 198144.

The previous prime is 429727. The next prime is 429731. The reversal of 429728 is 827924.

It can be written as a sum of positive squares in 2 ways, for example, as 425104 + 4624 = 652^2 + 68^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 429694 and 429703.

It is not an unprimeable number, because it can be changed into a prime (429727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101 + ... + 932.

2⁴²⁹⁷²⁸ is an apocalyptic number.

It is an amenable number.

429728 is an abundant number, since it is smaller than the sum of its proper divisors (482260).

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

429728 is a wasteful number, since it uses less digits than its factorization.

429728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1048 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 429728 is about 655.5364215663. The cubic root of 429728 is about 75.4625049557.

The spelling of 429728 in words is "four hundred twenty-nine thousand, seven hundred twenty-eight".