9279728640 has 528 divisors, whose sum is σ = 39592058688. Its totient is φ = 1957036032.

The previous prime is 9279728629. The next prime is 9279728657. The reversal of 9279728640 is 468279729.

It is a super-2 number, since 2×9279728640² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4192174 + ... + 4194386.

Almost surely, 2^9279728640 is an apocalyptic number.

9279728640 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 9279728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19796029344).

9279728640 is an abundant number, since it is smaller than the sum of its proper divisors (30312330048).

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

9279728640 is a wasteful number, since it uses less digits than its factorization.

9279728640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2243 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 9279728640 is about 96331.3481687036. The cubic root of 9279728640 is about 2101.4146658434.

The spelling of 9279728640 in words is "nine billion, two hundred seventy-nine million, seven hundred twenty-eight thousand, six hundred forty".