930728032128 has 192 divisors, whose sum is σ = 2734069852800. Its totient is φ = 303818855424.

The previous prime is 930728032121. The next prime is 930728032153. The reversal of 930728032128 is 821230827039.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930728032121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17849551 + ... + 17901617.

It is an arithmetic number, because the mean of its divisors is an integer number (14239947150).

Almost surely, 2^930728032128 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 930728032128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367034926400).

930728032128 is an abundant number, since it is smaller than the sum of its proper divisors (1803341820672).

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

930728032128 is a wasteful number, since it uses less digits than its factorization.

930728032128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52409 (or 52394 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 930728032128 in words is "nine hundred thirty billion, seven hundred twenty-eight million, thirty-two thousand, one hundred twenty-eight".