10028411712 has 504 divisors, whose sum is σ = 34152876576. Its totient is φ = 2892672000.

The previous prime is 10028411699. The next prime is 10028411713. The reversal of 10028411712 is 21711482001.

10028411712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10028411713) 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 71 ways as a sum of consecutive naturals, for example, 164400162 + ... + 164400222.

It is an arithmetic number, because the mean of its divisors is an integer number (67763644).

Almost surely, 2^10028411712 is an apocalyptic number.

10028411712 is a gapful number since it is divisible by the number (12) 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 10028411712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17076438288).

10028411712 is an abundant number, since it is smaller than the sum of its proper divisors (24124464864).

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

10028411712 is an equidigital number, since it uses as much as digits as its factorization.

10028411712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

Adding to 10028411712 its reverse (21711482001), we get a palindrome (31739893713).

The spelling of 10028411712 in words is "ten billion, twenty-eight million, four hundred eleven thousand, seven hundred twelve".