10197769728 has 160 divisors (see below), whose sum is σ = 28708162560. Its totient is φ = 3211550720.

The previous prime is 10197769723. The next prime is 10197769783. The reversal of 10197769728 is 82796779101.

10197769728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10197769721) 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 15 ways as a sum of consecutive naturals, for example, 2091133 + ... + 2096003.

It is an arithmetic number, because the mean of its divisors is an integer number (179426016).

Almost surely, 2^10197769728 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 10197769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14354081280).

10197769728 is an abundant number, since it is smaller than the sum of its proper divisors (18510392832).

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

10197769728 is an equidigital number, since it uses as much as digits as its factorization.

10197769728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 57.

The spelling of 10197769728 in words is "ten billion, one hundred ninety-seven million, seven hundred sixty-nine thousand, seven hundred twenty-eight".