10707373728 has 72 divisors (see below), whose sum is σ = 30502888416. Its totient is φ = 3562819200.

The previous prime is 10707373727. The next prime is 10707373739. The reversal of 10707373728 is 82737370701.

10707373728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×10707373728² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10707373727) 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 11 ways as a sum of consecutive naturals, for example, 131893 + ... + 197003.

It is an arithmetic number, because the mean of its divisors is an integer number (423651228).

Almost surely, 2^10707373728 is an apocalyptic number.

10707373728 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 10707373728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251444208).

10707373728 is an abundant number, since it is smaller than the sum of its proper divisors (19795514688).

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

10707373728 is a wasteful number, since it uses less digits than its factorization.

10707373728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65698 (or 65687 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 10707373728 in words is "ten billion, seven hundred seven million, three hundred seventy-three thousand, seven hundred twenty-eight".