8288098560 has 432 divisors, whose sum is σ = 33212874240. Its totient is φ = 1869004800.

The previous prime is 8288098549. The next prime is 8288098561. The reversal of 8288098560 is 658908828.

It is a junction number, because it is equal to n+sod(n) for n = 8288098497 and 8288098506.

It is not an unprimeable number, because it can be changed into a prime (8288098561) 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, 6369910 + ... + 6371210.

Almost surely, 2^8288098560 is an apocalyptic number.

8288098560 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 8288098560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606437120).

8288098560 is an abundant number, since it is smaller than the sum of its proper divisors (24924775680).

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

8288098560 is a wasteful number, since it uses less digits than its factorization.

8288098560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 8288098560 is about 91038.9947220420. The cubic root of 8288098560 is about 2023.7256472222.

The spelling of 8288098560 in words is "eight billion, two hundred eighty-eight million, ninety-eight thousand, five hundred sixty".