8273448000 has 224 divisors, whose sum is σ = 30355153920. Its totient is φ = 2206195200.

The previous prime is 8273447993. The next prime is 8273448017. The reversal of 8273448000 is 8443728.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196849 + ... + 235151.

It is an arithmetic number, because the mean of its divisors is an integer number (135514080).

Almost surely, 2^8273448000 is an apocalyptic number.

8273448000 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 8273448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177576960).

8273448000 is an abundant number, since it is smaller than the sum of its proper divisors (22081705920).

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

8273448000 is a wasteful number, since it uses less digits than its factorization.

8273448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38339 (or 38313 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8273448000 is about 90958.4960297827. The cubic root of 8273448000 is about 2022.5325227028.

The spelling of 8273448000 in words is "eight billion, two hundred seventy-three million, four hundred forty-eight thousand".