8289920256 has 144 divisors (see below), whose sum is σ = 23446511424. Its totient is φ = 2591260672.

The previous prime is 8289920213. The next prime is 8289920269. The reversal of 8289920256 is 6520299828.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 8289920199 and 8289920208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4137751 + ... + 4139753.

It is an arithmetic number, because the mean of its divisors is an integer number (162822996).

Almost surely, 2^8289920256 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 8289920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11723255712).

8289920256 is an abundant number, since it is smaller than the sum of its proper divisors (15156591168).

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

8289920256 is a wasteful number, since it uses less digits than its factorization.

8289920256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 8289920256 is about 91048.9992037255. Note that the first 3 decimals coincide. The cubic root of 8289920256 is about 2023.8739057088.

The spelling of 8289920256 in words is "eight billion, two hundred eighty-nine million, nine hundred twenty thousand, two hundred fifty-six".