10128512 has 32 divisors (see below), whose sum is σ = 20572380. Its totient is φ = 4965376.

The previous prime is 10128509. The next prime is 10128551. The reversal of 10128512 is 21582101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9096256 + 1032256 = 3016^2 + 1016^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6038 + ... + 7530.

Almost surely, 2^10128512 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 10128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10286190).

10128512 is an abundant number, since it is smaller than the sum of its proper divisors (10443868).

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

10128512 is an equidigital number, since it uses as much as digits as its factorization.

10128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 10128512 is about 3182.5323250519. The cubic root of 10128512 is about 216.3624458916.

The spelling of 10128512 in words is "ten million, one hundred twenty-eight thousand, five hundred twelve".