9480004128 has 240 divisors, whose sum is σ = 32516668800. Its totient is φ = 2708318592.

The previous prime is 9480004103. The next prime is 9480004141. The reversal of 9480004128 is 8214000849.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9480004092 and 9480004101.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883725 + ... + 894387.

It is an arithmetic number, because the mean of its divisors is an integer number (135486120).

Almost surely, 2^9480004128 is an apocalyptic number.

9480004128 is a gapful number since it is divisible by the number (98) 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 9480004128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16258334400).

9480004128 is an abundant number, since it is smaller than the sum of its proper divisors (23036664672).

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

9480004128 is a wasteful number, since it uses less digits than its factorization.

9480004128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10706 (or 10675 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 9480004128 is about 97365.3127556215. The cubic root of 9480004128 is about 2116.4248012255.

The spelling of 9480004128 in words is "nine billion, four hundred eighty million, four thousand, one hundred twenty-eight".