8689072128 has 192 divisors, whose sum is σ = 25592112000. Its totient is φ = 2599649280.

The previous prime is 8689072123. The next prime is 8689072129. The reversal of 8689072128 is 8212709868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8689072123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5608698 + ... + 5610246.

It is an arithmetic number, because the mean of its divisors is an integer number (133292250).

Almost surely, 2^8689072128 is an apocalyptic number.

8689072128 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 8689072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12796056000).

8689072128 is an abundant number, since it is smaller than the sum of its proper divisors (16903039872).

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

8689072128 is a wasteful number, since it uses less digits than its factorization.

8689072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1648 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 51.

The square root of 8689072128 is about 93215.1925814671. The cubic root of 8689072128 is about 2055.8486264830.

The spelling of 8689072128 in words is "eight billion, six hundred eighty-nine million, seventy-two thousand, one hundred twenty-eight".