8967257257728 has 576 divisors, whose sum is σ = 31293765844992. Its totient is φ = 2210304983040.

The previous prime is 8967257257711. The next prime is 8967257257747. The reversal of 8967257257728 is 8277527527698.

It is a self number, because there is not a number n which added to its sum of digits gives 8967257257728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172710300 + ... + 172762212.

It is an arithmetic number, because the mean of its divisors is an integer number (54329454592).

Almost surely, 2^{8967257257728} is an apocalyptic number.

8967257257728 is a gapful number since it is divisible by the number (88) 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 8967257257728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15646882922496).

8967257257728 is an abundant number, since it is smaller than the sum of its proper divisors (22326508587264).

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

8967257257728 is a wasteful number, since it uses less digits than its factorization.

8967257257728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52100 (or 52086 counting only the distinct ones).

The product of its digits is 1659571200, while the sum is 75.

The spelling of 8967257257728 in words is "eight trillion, nine hundred sixty-seven billion, two hundred fifty-seven million, two hundred fifty-seven thousand, seven hundred twenty-eight".