9485728160 has 48 divisors (see below), whose sum is σ = 22415855112. Its totient is φ = 3793305600.

The previous prime is 9485728157. The next prime is 9485728163. The reversal of 9485728160 is 618275849.

It is an interprime number because it is at equal distance from previous prime (9485728157) and next prime (9485728163).

It can be written as a sum of positive squares in 4 ways, for example, as 5758381456 + 3727346704 = 75884^2 + 61052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9485728099 and 9485728108.

It is not an unprimeable number, because it can be changed into a prime (9485728163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1205840 + ... + 1213680.

Almost surely, 2^9485728160 is an apocalyptic number.

It is an amenable number.

9485728160 is an abundant number, since it is smaller than the sum of its proper divisors (12930126952).

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

9485728160 is a wasteful number, since it uses less digits than its factorization.

9485728160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15417 (or 15409 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 50.

The square root of 9485728160 is about 97394.7029360427. The cubic root of 9485728160 is about 2116.8506816962.

The spelling of 9485728160 in words is "nine billion, four hundred eighty-five million, seven hundred twenty-eight thousand, one hundred sixty".