105728938848 has 768 divisors, whose sum is σ = 374521190400. Its totient is φ = 28665446400.

The previous prime is 105728938841. The next prime is 105728938897. The reversal of 105728938848 is 848839827501.

105728938848 is a `hidden beast` number, since 10 + 572 + 8 + 9 + 3 + 8 + 8 + 48 = 666.

It is a super-2 number, since 2×105728938848² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105728938841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 547818240 + ... + 547818432.

It is an arithmetic number, because the mean of its divisors is an integer number (487657800).

Almost surely, 2^105728938848 is an apocalyptic number.

105728938848 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 105728938848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187260595200).

105728938848 is an abundant number, since it is smaller than the sum of its proper divisors (268792251552).

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

105728938848 is a wasteful number, since it uses less digits than its factorization.

105728938848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 105728938848 in words is "one hundred five billion, seven hundred twenty-eight million, nine hundred thirty-eight thousand, eight hundred forty-eight".