9263928960 has 1024 divisors, whose sum is σ = 40468377600. Its totient is φ = 1970749440.

The previous prime is 9263928959. The next prime is 9263928979. The reversal of 9263928960 is 698293629.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9263928897 and 9263928906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56833839 + ... + 56834001.

It is an arithmetic number, because the mean of its divisors is an integer number (39519900).

Almost surely, 2^9263928960 is an apocalyptic number.

9263928960 is a gapful number since it is divisible by the number (90) 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 9263928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20234188800).

9263928960 is an abundant number, since it is smaller than the sum of its proper divisors (31204448640).

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

9263928960 is a wasteful number, since it uses less digits than its factorization.

9263928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 9263928960 is about 96249.3062832143. The cubic root of 9263928960 is about 2100.2213644199.

The spelling of 9263928960 in words is "nine billion, two hundred sixty-three million, nine hundred twenty-eight thousand, nine hundred sixty".