15117307728 has 160 divisors (see below), whose sum is σ = 41499820032. Its totient is φ = 4734374400.

The previous prime is 15117307703. The next prime is 15117307729. The reversal of 15117307728 is 82770371151.

15117307728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15117307728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15117307729) 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 31 ways as a sum of consecutive naturals, for example, 12220326 + ... + 12221562.

Almost surely, 2^15117307728 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 15117307728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20749910016).

15117307728 is an abundant number, since it is smaller than the sum of its proper divisors (26382512304).

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

15117307728 is a wasteful number, since it uses less digits than its factorization.

15117307728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 42.

Adding to 15117307728 its reverse (82770371151), we get a palindrome (97887678879).

The spelling of 15117307728 in words is "fifteen billion, one hundred seventeen million, three hundred seven thousand, seven hundred twenty-eight".