10905193728 has 864 divisors, whose sum is σ = 41104022400. Its totient is φ = 2822307840.

The previous prime is 10905193723. The next prime is 10905193729. The reversal of 10905193728 is 82739150901.

10905193728 is a `hidden beast` number, since 10 + 90 + 519 + 37 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×10905193728³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10905193723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184833763 + ... + 184833821.

It is an arithmetic number, because the mean of its divisors is an integer number (47574100).

Almost surely, 2^10905193728 is an apocalyptic number.

10905193728 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 10905193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20552011200).

10905193728 is an abundant number, since it is smaller than the sum of its proper divisors (30198828672).

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

10905193728 is a wasteful number, since it uses less digits than its factorization.

10905193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 10905193728 in words is "ten billion, nine hundred five million, one hundred ninety-three thousand, seven hundred twenty-eight".