10303141728 has 96 divisors (see below), whose sum is σ = 29535287040. Its totient is φ = 3118901760.

The previous prime is 10303141727. The next prime is 10303141787. The reversal of 10303141728 is 82714130301.

10303141728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10303141695 and 10303141704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303141727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124301 + ... + 1133427.

It is an arithmetic number, because the mean of its divisors is an integer number (307659240).

Almost surely, 2^10303141728 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 10303141728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14767643520).

10303141728 is an abundant number, since it is smaller than the sum of its proper divisors (19232145312).

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

10303141728 is a wasteful number, since it uses less digits than its factorization.

10303141728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10220 (or 10212 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 10303141728 in words is "ten billion, three hundred three million, one hundred forty-one thousand, seven hundred twenty-eight".