10131728 has 30 divisors (see below), whose sum is σ = 20893194. Its totient is φ = 4743168.

The previous prime is 10131721. The next prime is 10131733. The reversal of 10131728 is 82713101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 719104 + 9412624 = 848^2 + 3068^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10131721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52400 + ... + 52592.

Almost surely, 2^10131728 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 10131728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446597).

10131728 is an abundant number, since it is smaller than the sum of its proper divisors (10761466).

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

10131728 is an equidigital number, since it uses as much as digits as its factorization.

10131728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 10131728 is about 3183.0375429768. The cubic root of 10131728 is about 216.3853432331.

Adding to 10131728 its sum of digits (23), we get a triangular number (10131751 = T₄₅₀₁).

Adding to 10131728 its reverse (82713101), we get a palindrome (92844829).

The spelling of 10131728 in words is "ten million, one hundred thirty-one thousand, seven hundred twenty-eight".