928117638649968 has 960 divisors, whose sum is σ = 2847716742463488. Its totient is φ = 258609909841920.

The previous prime is 928117638649963. The next prime is 928117638650039. The reversal of 928117638649968 is 869946836711829.

It is a happy number.

It is a super-2 number, since 2×928117638649968² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928117638649963) 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, 1122270421171 + ... + 1122270421997.

Almost surely, 2^{928117638649968} 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 928117638649968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423858371231744).

928117638649968 is an abundant number, since it is smaller than the sum of its proper divisors (1919599103813520).

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

928117638649968 is a wasteful number, since it uses less digits than its factorization.

928117638649968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1807 counting only the distinct ones).

The product of its digits is 13544423424, while the sum is 87.

The spelling of 928117638649968 in words is "nine hundred twenty-eight trillion, one hundred seventeen billion, six hundred thirty-eight million, six hundred forty-nine thousand, nine hundred sixty-eight".