8225393280 has 256 divisors, whose sum is σ = 28428624000. Its totient is φ = 2010857472.

The previous prime is 8225393273. The next prime is 8225393311. The reversal of 8225393280 is 823935228.

It is a super-2 number, since 2×8225393280² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3917671 + ... + 3919769.

Almost surely, 2^8225393280 is an apocalyptic number.

8225393280 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 8225393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14214312000).

8225393280 is an abundant number, since it is smaller than the sum of its proper divisors (20203230720).

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

8225393280 is a wasteful number, since it uses less digits than its factorization.

8225393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 8225393280 is about 90693.9539329938. The cubic root of 8225393280 is about 2018.6090872449.

The spelling of 8225393280 in words is "eight billion, two hundred twenty-five million, three hundred ninety-three thousand, two hundred eighty".