434321328 has 160 divisors (see below), whose sum is σ = 1370198016. Its totient is φ = 115847424.

The previous prime is 434321257. The next prime is 434321339. The reversal of 434321328 is 823123434.

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

It is a junction number, because it is equal to n+sod(n) for n = 434321295 and 434321304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331651 + ... + 332957.

Almost surely, 2^434321328 is an apocalyptic number.

434321328 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 434321328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685099008).

434321328 is an abundant number, since it is smaller than the sum of its proper divisors (935876688).

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

434321328 is a wasteful number, since it uses less digits than its factorization.

434321328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1385 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 434321328 is about 20840.3773478313. The cubic root of 434321328 is about 757.3042350482.

The spelling of 434321328 in words is "four hundred thirty-four million, three hundred twenty-one thousand, three hundred twenty-eight".