1028041819328 has 112 divisors (see below), whose sum is σ = 2079954809856. Its totient is φ = 504066201600.

The previous prime is 1028041819313. The next prime is 1028041819351. The reversal of 1028041819328 is 8239181408201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437277353 + ... + 437279703.

It is an arithmetic number, because the mean of its divisors is an integer number (18571025088).

Almost surely, 2^{1028041819328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1028041819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039977404928).

1028041819328 is an abundant number, since it is smaller than the sum of its proper divisors (1051912990528).

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

1028041819328 is a wasteful number, since it uses less digits than its factorization.

1028041819328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 47.

The spelling of 1028041819328 in words is "one trillion, twenty-eight billion, forty-one million, eight hundred nineteen thousand, three hundred twenty-eight".