10008280128 has 112 divisors (see below), whose sum is σ = 33014375424. Its totient is φ = 2599549440.

The previous prime is 10008280097. The next prime is 10008280129. The reversal of 10008280128 is 82108280001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×10008280128² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10008280095 and 10008280104.

It is not an unprimeable number, because it can be changed into a prime (10008280129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323700 + ... + 353267.

Almost surely, 2^10008280128 is an apocalyptic number.

It is an amenable number.

10008280128 is an abundant number, since it is smaller than the sum of its proper divisors (23006095296).

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

10008280128 is a wasteful number, since it uses less digits than its factorization.

10008280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677000 (or 676990 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The spelling of 10008280128 in words is "ten billion, eight million, two hundred eighty thousand, one hundred twenty-eight".