8238328560 has 1200 divisors, whose sum is σ = 38314214400. Its totient is φ = 1601233920.

The previous prime is 8238328547. The next prime is 8238328601. The reversal of 8238328560 is 658238328.

8238328560 is a `hidden beast` number, since 8 + 2 + 3 + 83 + 2 + 8 + 560 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 104282601 + ... + 104282679.

It is an arithmetic number, because the mean of its divisors is an integer number (31928512).

Almost surely, 2^8238328560 is an apocalyptic number.

8238328560 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 8238328560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19157107200).

8238328560 is an abundant number, since it is smaller than the sum of its proper divisors (30075885840).

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

8238328560 is a wasteful number, since it uses less digits than its factorization.

8238328560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8238328560 is about 90765.2387205587. The cubic root of 8238328560 is about 2019.6666900956. Note that the first 4 decimals are identical.

The spelling of 8238328560 in words is "eight billion, two hundred thirty-eight million, three hundred twenty-eight thousand, five hundred sixty".