10185728 has 88 divisors (see below), whose sum is σ = 24564000. Its totient is φ = 4214784.

The previous prime is 10185713. The next prime is 10185733. The reversal of 10185728 is 82758101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10185694 and 10185703.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351218 + ... + 351246.

Almost surely, 2^10185728 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 10185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282000).

10185728 is an abundant number, since it is smaller than the sum of its proper divisors (14378272).

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

10185728 is an frugal number, since it uses more digits than its factorization.

10185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 10185728 is about 3191.5087341256. The cubic root of 10185728 is about 216.7690918752.

The spelling of 10185728 in words is "ten million, one hundred eighty-five thousand, seven hundred twenty-eight".