8288916480 has 528 divisors, whose sum is σ = 31464420624. Its totient is φ = 2005401600.

The previous prime is 8288916469. The next prime is 8288916481. The reversal of 8288916480 is 846198828.

8288916480 is a `hidden beast` number, since 82 + 8 + 89 + 1 + 6 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41370624 + 8247545856 = 6432^2 + 90816^2 .

It is a super-2 number, since 2×8288916480² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8288916481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60502972 + ... + 60503108.

Almost surely, 2^8288916480 is an apocalyptic number.

8288916480 is a gapful number since it is divisible by the number (80) 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 8288916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732210312).

8288916480 is an abundant number, since it is smaller than the sum of its proper divisors (23175504144).

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

8288916480 is a wasteful number, since it uses less digits than its factorization.

8288916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The square root of 8288916480 is about 91043.4867522109. The cubic root of 8288916480 is about 2023.7922162196.

The spelling of 8288916480 in words is "eight billion, two hundred eighty-eight million, nine hundred sixteen thousand, four hundred eighty".