8273055648 has 288 divisors, whose sum is σ = 25907599872. Its totient is φ = 2291328000.

The previous prime is 8273055641. The next prime is 8273055671. The reversal of 8273055648 is 8465503728.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8273055597 and 8273055606.

It is not an unprimeable number, because it can be changed into a prime (8273055641) 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, 26947911 + ... + 26948217.

It is an arithmetic number, because the mean of its divisors is an integer number (89956944).

Almost surely, 2^8273055648 is an apocalyptic number.

8273055648 is a gapful number since it is divisible by the number (88) 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 8273055648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12953799936).

8273055648 is an abundant number, since it is smaller than the sum of its proper divisors (17634544224).

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

8273055648 is a wasteful number, since it uses less digits than its factorization.

8273055648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 8273055648 is about 90956.3392403190. The cubic root of 8273055648 is about 2022.5005506550.

The spelling of 8273055648 in words is "eight billion, two hundred seventy-three million, fifty-five thousand, six hundred forty-eight".