1028975161968 has 640 divisors, whose sum is σ = 3566021760000. Its totient is φ = 280634720256.

The previous prime is 1028975161961. The next prime is 1028975161969. The reversal of 1028975161968 is 8691615798201.

1028975161968 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 9 + 7 + 5 + 1 + 619 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028975161961) 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 127 ways as a sum of consecutive naturals, for example, 324698688 + ... + 324701856.

It is an arithmetic number, because the mean of its divisors is an integer number (5571909000).

Almost surely, 2^{1028975161968} is an apocalyptic number.

1028975161968 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 1028975161968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783010880000).

1028975161968 is an abundant number, since it is smaller than the sum of its proper divisors (2537046598032).

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

1028975161968 is a wasteful number, since it uses less digits than its factorization.

1028975161968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 1028975161968 in words is "one trillion, twenty-eight billion, nine hundred seventy-five million, one hundred sixty-one thousand, nine hundred sixty-eight".