1028173386880 has 256 divisors, whose sum is σ = 2625509376000. Its totient is φ = 384316047360.

The previous prime is 1028173386853. The next prime is 1028173386881. The reversal of 1028173386880 is 886833718201.

It is a happy number.

1028173386880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1028173386880² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1028173386881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96636601 + ... + 96647239.

It is an arithmetic number, because the mean of its divisors is an integer number (10255896000).

Almost surely, 2^{1028173386880} is an apocalyptic number.

1028173386880 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 1028173386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312754688000).

1028173386880 is an abundant number, since it is smaller than the sum of its proper divisors (1597335989120).

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

1028173386880 is a wasteful number, since it uses less digits than its factorization.

1028173386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10855 (or 10843 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 1028173386880 in words is "one trillion, twenty-eight billion, one hundred seventy-three million, three hundred eighty-six thousand, eight hundred eighty".