9083104128 has 480 divisors, whose sum is σ = 33134567400. Its totient is φ = 2455971840.

The previous prime is 9083104111. The next prime is 9083104141. The reversal of 9083104128 is 8214013809.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 9083104092 and 9083104101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9652138 + ... + 9653078.

Almost surely, 2^9083104128 is an apocalyptic number.

9083104128 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 9083104128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16567283700).

9083104128 is an abundant number, since it is smaller than the sum of its proper divisors (24051463272).

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

9083104128 is a wasteful number, since it uses less digits than its factorization.

9083104128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 9083104128 is about 95305.3205650136. The cubic root of 9083104128 is about 2086.4665713104.

The spelling of 9083104128 in words is "nine billion, eighty-three million, one hundred four thousand, one hundred twenty-eight".