10128630132 has 144 divisors (see below), whose sum is σ = 26988998400. Its totient is φ = 3198424320.

The previous prime is 10128630131. The next prime is 10128630179. The reversal of 10128630132 is 23103682101.

It is a happy number.

10128630132 is a `hidden beast` number, since 1 + 0 + 1 + 28 + 630 + 1 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10128630096 and 10128630105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10128630131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18721782 + ... + 18722322.

It is an arithmetic number, because the mean of its divisors is an integer number (187423600).

Almost surely, 2^10128630132 is an apocalyptic number.

10128630132 is a gapful number since it is divisible by the number (12) 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 10128630132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494499200).

10128630132 is an abundant number, since it is smaller than the sum of its proper divisors (16860368268).

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

10128630132 is a wasteful number, since it uses less digits than its factorization.

10128630132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10128630132 in words is "ten billion, one hundred twenty-eight million, six hundred thirty thousand, one hundred thirty-two".