434312928 has 288 divisors, whose sum is σ = 1497000960. Its totient is φ = 121305600.

The previous prime is 434312897. The next prime is 434312929. The reversal of 434312928 is 829213434.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (41472) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 434312892 and 434312901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434312929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4300078 + ... + 4300178.

It is an arithmetic number, because the mean of its divisors is an integer number (5197920).

Almost surely, 2^434312928 is an apocalyptic number.

434312928 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 434312928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748500480).

434312928 is an abundant number, since it is smaller than the sum of its proper divisors (1062688032).

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

434312928 is a wasteful number, since it uses less digits than its factorization.

434312928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 192 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 434312928 is about 20840.1758149973. The cubic root of 434312928 is about 757.2993527977.

It can be divided in two parts, 4343 and 12928, that added together give a palindrome (17271).

The spelling of 434312928 in words is "four hundred thirty-four million, three hundred twelve thousand, nine hundred twenty-eight".