10434443328 has 336 divisors, whose sum is σ = 33430610304. Its totient is φ = 3214909440.

The previous prime is 10434443323. The next prime is 10434443333. The reversal of 10434443328 is 82334443401.

It is an interprime number because it is at equal distance from previous prime (10434443323) and next prime (10434443333).

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

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 10434443292 and 10434443301.

It is not an unprimeable number, because it can be changed into a prime (10434443323) 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, 16127101 + ... + 16127747.

It is an arithmetic number, because the mean of its divisors is an integer number (99495864).

Almost surely, 2^10434443328 is an apocalyptic number.

10434443328 is a gapful number since it is divisible by the number (18) 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 10434443328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16715305152).

10434443328 is an abundant number, since it is smaller than the sum of its proper divisors (22996166976).

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

10434443328 is an equidigital number, since it uses as much as digits as its factorization.

10434443328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 10434443328 its reverse (82334443401), we get a palindrome (92768886729).

The spelling of 10434443328 in words is "ten billion, four hundred thirty-four million, four hundred forty-three thousand, three hundred twenty-eight".