10125328 has 30 divisors (see below), whose sum is σ = 20716494. Its totient is φ = 4793472.

The previous prime is 10125317. The next prime is 10125331. The reversal of 10125328 is 82352101.

It can be written as a sum of positive squares in only one way, i.e., 5914624 + 4210704 = 2432^2 + 2052^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10125299 and 10125308.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4900 + ... + 6652.

Almost surely, 2^10125328 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 10125328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10358247).

10125328 is an abundant number, since it is smaller than the sum of its proper divisors (10591166).

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

10125328 is a wasteful number, since it uses less digits than its factorization.

10125328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 10125328 is about 3182.0320551497. The cubic root of 10125328 is about 216.3397716091.

Adding to 10125328 its reverse (82352101), we get a palindrome (92477429).

The spelling of 10125328 in words is "ten million, one hundred twenty-five thousand, three hundred twenty-eight".