10486028023128 has 640 divisors, whose sum is σ = 34924520632320. Its totient is φ = 2888318062080.

The previous prime is 10486028023111. The next prime is 10486028023129. The reversal of 10486028023128 is 82132082068401.

10486028023128 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 602 + 8 + 0 + 2 + 31 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10486028023129) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13565365750 + ... + 13565366522.

It is an arithmetic number, because the mean of its divisors is an integer number (54569563488).

Almost surely, 2^{10486028023128} is an apocalyptic number.

10486028023128 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 10486028023128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17462260316160).

10486028023128 is an abundant number, since it is smaller than the sum of its proper divisors (24438492609192).

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

10486028023128 is an frugal number, since it uses more digits than its factorization.

10486028023128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 10486028023128 in words is "ten trillion, four hundred eighty-six billion, twenty-eight million, twenty-three thousand, one hundred twenty-eight".