8028848520 has 768 divisors, whose sum is σ = 34381670400. Its totient is φ = 1630886400.

The previous prime is 8028848491. The next prime is 8028848521. The reversal of 8028848520 is 258488208.

8028848520 is a `hidden beast` number, since 8 + 0 + 2 + 88 + 48 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8028848521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 61288855 + ... + 61288985.

It is an arithmetic number, because the mean of its divisors is an integer number (44767800).

Almost surely, 2^8028848520 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 8028848520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17190835200).

8028848520 is an abundant number, since it is smaller than the sum of its proper divisors (26352821880).

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

8028848520 is a wasteful number, since it uses less digits than its factorization.

8028848520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 8028848520 is about 89603.8421051240. The cubic root of 8028848520 is about 2002.4011593964.

The spelling of 8028848520 in words is "eight billion, twenty-eight million, eight hundred forty-eight thousand, five hundred twenty".