8688121728 has 512 divisors, whose sum is σ = 29536980480. Its totient is φ = 2221670400.

The previous prime is 8688121709. The next prime is 8688121733. The reversal of 8688121728 is 8271218868.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 38273551 + ... + 38273777.

It is an arithmetic number, because the mean of its divisors is an integer number (57689415).

Almost surely, 2^8688121728 is an apocalyptic number.

8688121728 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 8688121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14768490240).

8688121728 is an abundant number, since it is smaller than the sum of its proper divisors (20848858752).

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

8688121728 is a wasteful number, since it uses less digits than its factorization.

8688121728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its digits is 688128, while the sum is 51.

The square root of 8688121728 is about 93210.0945606215. The cubic root of 8688121728 is about 2055.7736683537.

It can be divided in two parts, 868812 and 1728, that added together give a triangular number (870540 = T₁₃₁₉).

The spelling of 8688121728 in words is "eight billion, six hundred eighty-eight million, one hundred twenty-one thousand, seven hundred twenty-eight".