434185728 has 80 divisors (see below), whose sum is σ = 1174240320. Its totient is φ = 142534656.

The previous prime is 434185723. The next prime is 434185747. The reversal of 434185728 is 827581434.

It is a self number, because there is not a number n which added to its sum of digits gives 434185728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434185723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100803 + ... + 105021.

It is an arithmetic number, because the mean of its divisors is an integer number (14678004).

Almost surely, 2^434185728 is an apocalyptic number.

434185728 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 434185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587120160).

434185728 is an abundant number, since it is smaller than the sum of its proper divisors (740054592).

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

434185728 is an equidigital number, since it uses as much as digits as its factorization.

434185728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4307 (or 4291 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 434185728 is about 20837.1237938445. The cubic root of 434185728 is about 757.2254138801.

The spelling of 434185728 in words is "four hundred thirty-four million, one hundred eighty-five thousand, seven hundred twenty-eight".