1007173128 has 256 divisors, whose sum is σ = 3048192000. Its totient is φ = 274323456.

The previous prime is 1007173093. The next prime is 1007173157. The reversal of 1007173128 is 8213717001.

It is a junction number, because it is equal to n+sod(n) for n = 1007173095 and 1007173104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11316508 + ... + 11316596.

It is an arithmetic number, because the mean of its divisors is an integer number (11907000).

Almost surely, 2^1007173128 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 1007173128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524096000).

1007173128 is an abundant number, since it is smaller than the sum of its proper divisors (2041018872).

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

1007173128 is a wasteful number, since it uses less digits than its factorization.

1007173128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 1007173128 is about 31735.9910511709. The cubic root of 1007173128 is about 1002.3853482562.

The spelling of 1007173128 in words is "one billion, seven million, one hundred seventy-three thousand, one hundred twenty-eight".