1028832442176 has 1344 divisors, whose sum is σ = 3885459701760. Its totient is φ = 233844019200.

The previous prime is 1028832442171. The next prime is 1028832442181. The reversal of 1028832442176 is 6712442388201.

1028832442176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1028832442171) and next prime (1028832442181).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1028832442176² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028832442171) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2203067095 + ... + 2203067561.

It is an arithmetic number, because the mean of its divisors is an integer number (2890967040).

Almost surely, 2^{1028832442176} is an apocalyptic number.

1028832442176 is a gapful number since it is divisible by the number (16) 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 1028832442176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942729850880).

1028832442176 is an abundant number, since it is smaller than the sum of its proper divisors (2856627259584).

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

1028832442176 is a wasteful number, since it uses less digits than its factorization.

1028832442176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 1028832442176 in words is "one trillion, twenty-eight billion, eight hundred thirty-two million, four hundred forty-two thousand, one hundred seventy-six".