434201728 has 32 divisors (see below), whose sum is σ = 902626560. Its totient is φ = 207660288.

The previous prime is 434201723. The next prime is 434201749. The reversal of 434201728 is 827102434.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×434201728² = 377062281196371968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434201728.

It is not an unprimeable number, because it can be changed into a prime (434201723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70800 + ... + 76687.

It is an arithmetic number, because the mean of its divisors is an integer number (28207080).

Almost surely, 2^434201728 is an apocalyptic number.

It is an amenable number.

434201728 is an abundant number, since it is smaller than the sum of its proper divisors (468424832).

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

434201728 is a wasteful number, since it uses less digits than its factorization.

434201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147524 (or 147512 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 434201728 is about 20837.5077204545. The cubic root of 434201728 is about 757.2347151668.

The spelling of 434201728 in words is "four hundred thirty-four million, two hundred one thousand, seven hundred twenty-eight".