11728915128 has 256 divisors, whose sum is σ = 39640320000. Its totient is φ = 3136776192.

The previous prime is 11728915127. The next prime is 11728915129. The reversal of 11728915128 is 82151982711.

It is an interprime number because it is at equal distance from previous prime (11728915127) and next prime (11728915129).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11728915123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5113950 + ... + 5116242.

It is an arithmetic number, because the mean of its divisors is an integer number (154845000).

Almost surely, 2^11728915128 is an apocalyptic number.

11728915128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11728915128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820160000).

11728915128 is an abundant number, since it is smaller than the sum of its proper divisors (27911404872).

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

11728915128 is a wasteful number, since it uses less digits than its factorization.

11728915128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2521 counting only the distinct ones).

The product of its digits is 80640, while the sum is 45.

The spelling of 11728915128 in words is "eleven billion, seven hundred twenty-eight million, nine hundred fifteen thousand, one hundred twenty-eight".