434028768 has 192 divisors, whose sum is σ = 1302884352. Its totient is φ = 125706240.

The previous prime is 434028757. The next prime is 434028773. The reversal of 434028768 is 867820434.

It is a congruent number.

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, 1163430 + ... + 1163802.

It is an arithmetic number, because the mean of its divisors is an integer number (6785856).

Almost surely, 2^434028768 is an apocalyptic number.

434028768 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 434028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651442176).

434028768 is an abundant number, since it is smaller than the sum of its proper divisors (868855584).

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

434028768 is a wasteful number, since it uses less digits than its factorization.

434028768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 434028768 is about 20833.3570986531. The cubic root of 434028768 is about 757.1341561393.

The spelling of 434028768 in words is "four hundred thirty-four million, twenty-eight thousand, seven hundred sixty-eight".