9485900928 has 320 divisors, whose sum is σ = 33382641600. Its totient is φ = 2616219648.

The previous prime is 9485900927. The next prime is 9485900933. The reversal of 9485900928 is 8290095849.

9485900928 is a `hidden beast` number, since 9 + 48 + 590 + 0 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×9485900928² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (9485900927) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2102451 + ... + 2106957.

It is an arithmetic number, because the mean of its divisors is an integer number (104320755).

Almost surely, 2^9485900928 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 9485900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16691320800).

9485900928 is an abundant number, since it is smaller than the sum of its proper divisors (23896740672).

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

9485900928 is a wasteful number, since it uses less digits than its factorization.

9485900928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 9485900928 is about 97395.5898796244. The cubic root of 9485900928 is about 2116.8635333485.

The spelling of 9485900928 in words is "nine billion, four hundred eighty-five million, nine hundred thousand, nine hundred twenty-eight".