434812728 has 64 divisors (see below), whose sum is σ = 1244482560. Its totient is φ = 124016256.

The previous prime is 434812699. The next prime is 434812783. The reversal of 434812728 is 827218434.

It is a super-3 number, since 3×434812728³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111825 + ... + 115647.

It is an arithmetic number, because the mean of its divisors is an integer number (19445040).

Almost surely, 2^434812728 is an apocalyptic number.

It is an amenable number.

434812728 is an abundant number, since it is smaller than the sum of its proper divisors (809669832).

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

434812728 is a wasteful number, since it uses less digits than its factorization.

434812728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4512 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 434812728 is about 20852.1636287461. The cubic root of 434812728 is about 757.5897372149.

The spelling of 434812728 in words is "four hundred thirty-four million, eight hundred twelve thousand, seven hundred twenty-eight".