433728 has 56 divisors (see below), whose sum is σ = 1280160. Its totient is φ = 144000.

The previous prime is 433723. The next prime is 433729. The reversal of 433728 is 827334.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (433723) by changing a digit.

433728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1603 + ... + 1853.

It is an arithmetic number, because the mean of its divisors is an integer number (22860).

2⁴³³⁷²⁸ is an apocalyptic number.

433728 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 433728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640080).

433728 is an abundant number, since it is smaller than the sum of its proper divisors (846432).

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

433728 is a wasteful number, since it uses less digits than its factorization.

433728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 433728 is about 658.5802912326. The cubic root of 433728 is about 75.6959225840.

The spelling of 433728 in words is "four hundred thirty-three thousand, seven hundred twenty-eight".