8742916728 has 576 divisors, whose sum is σ = 31868928000. Its totient is φ = 2139830784.

The previous prime is 8742916727. The next prime is 8742916751. The reversal of 8742916728 is 8276192478.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8742916727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 68841801 + ... + 68841927.

It is an arithmetic number, because the mean of its divisors is an integer number (55328000).

Almost surely, 2^8742916728 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 8742916728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934464000).

8742916728 is an abundant number, since it is smaller than the sum of its proper divisors (23126011272).

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

8742916728 is a wasteful number, since it uses less digits than its factorization.

8742916728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 8742916728 is about 93503.5653223983. The cubic root of 8742916728 is about 2060.0864581805.

The spelling of 8742916728 in words is "eight billion, seven hundred forty-two million, nine hundred sixteen thousand, seven hundred twenty-eight".