125728328 has 64 divisors (see below), whose sum is σ = 274233600. Its totient is φ = 53406720.

The previous prime is 125728321. The next prime is 125728333. The reversal of 125728328 is 823827521.

It is a super-2 number, since 2×125728328² = 31615224923351168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 125728291 and 125728300.

It is not an unprimeable number, because it can be changed into a prime (125728321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 342401 + ... + 342767.

It is an arithmetic number, because the mean of its divisors is an integer number (4284900).

Almost surely, 2^125728328 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 125728328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137116800).

125728328 is an abundant number, since it is smaller than the sum of its proper divisors (148505272).

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

125728328 is a wasteful number, since it uses less digits than its factorization.

125728328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its digits is 53760, while the sum is 38.

The square root of 125728328 is about 11212.8643976461. The cubic root of 125728328 is about 500.9692239957.

The spelling of 125728328 in words is "one hundred twenty-five million, seven hundred twenty-eight thousand, three hundred twenty-eight".