10129328 has 40 divisors (see below), whose sum is σ = 21754560. Its totient is φ = 4530240.

The previous prime is 10129321. The next prime is 10129349. The reversal of 10129328 is 82392101.

10129328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10129297 and 10129306.

It is not an unprimeable number, because it can be changed into a prime (10129321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11363 + ... + 12221.

It is an arithmetic number, because the mean of its divisors is an integer number (543864).

Almost surely, 2^10129328 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 10129328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877280).

10129328 is an abundant number, since it is smaller than the sum of its proper divisors (11625232).

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

10129328 is a wasteful number, since it uses less digits than its factorization.

10129328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 10129328 is about 3182.6605222675. The cubic root of 10129328 is about 216.3682561236.

The spelling of 10129328 in words is "ten million, one hundred twenty-nine thousand, three hundred twenty-eight".