1028433304960 has 256 divisors, whose sum is σ = 2626919424000. Its totient is φ = 384110510080.

The previous prime is 1028433304949. The next prime is 1028433304961. The reversal of 1028433304960 is 694033348201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028433304961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298181316 + ... + 298184764.

It is an arithmetic number, because the mean of its divisors is an integer number (10261404000).

Almost surely, 2^{1028433304960} is an apocalyptic number.

1028433304960 is a gapful number since it is divisible by the number (10) 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 1028433304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313459712000).

1028433304960 is an abundant number, since it is smaller than the sum of its proper divisors (1598486119040).

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

1028433304960 is a wasteful number, since it uses less digits than its factorization.

1028433304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 1028433304960 in words is "one trillion, twenty-eight billion, four hundred thirty-three million, three hundred four thousand, nine hundred sixty".