10157728 has 48 divisors (see below), whose sum is σ = 23091264. Its totient is φ = 4308480.

The previous prime is 10157701. The next prime is 10157729. The reversal of 10157728 is 82775101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10157728.

It is not an unprimeable number, because it can be changed into a prime (10157729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30523 + ... + 30853.

It is an arithmetic number, because the mean of its divisors is an integer number (481068).

Almost surely, 2^10157728 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 10157728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11545632).

10157728 is an abundant number, since it is smaller than the sum of its proper divisors (12933536).

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

10157728 is a wasteful number, since it uses less digits than its factorization.

10157728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 10157728 is about 3187.1190752779. The cubic root of 10157728 is about 216.5702808628.

The spelling of 10157728 in words is "ten million, one hundred fifty-seven thousand, seven hundred twenty-eight".