10079728128 has 450 divisors, whose sum is σ = 33099202851. Its totient is φ = 3053223936.

The previous prime is 10079728121. The next prime is 10079728129. The reversal of 10079728128 is 82182797001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 8048242944 + 2031485184 = 89712^2 + 45072^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70992.

It is not an unprimeable number, because it can be changed into a prime (10079728121) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 347576818 + ... + 347576846.

Almost surely, 2^10079728128 is an apocalyptic number.

10079728128 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 10079728128

10079728128 is an abundant number, since it is smaller than the sum of its proper divisors (23019474723).

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

10079728128 is an frugal number, since it uses more digits than its factorization.

10079728128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 10079728128 in words is "ten billion, seventy-nine million, seven hundred twenty-eight thousand, one hundred twenty-eight".