10628100000 has 648 divisors, whose sum is σ = 44127199116. Its totient is φ = 2419200000.

The previous prime is 10628099987. The next prime is 10628100019. The reversal of 10628100000 is 182601.

It can be written as a sum of positive squares in 6 ways, for example, as 518199696 + 10109900304 = 22764^2 + 100548^2 .

It is a super-2 number, since 2×10628100000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44099880 + ... + 44100120.

Almost surely, 2^10628100000 is an apocalyptic number.

10628100000 is a gapful number since it is divisible by the number (10) 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 10628100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063599558).

10628100000 is an abundant number, since it is smaller than the sum of its proper divisors (33499099116).

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

10628100000 is an equidigital number, since it uses as much as digits as its factorization.

10628100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10628100000 its reverse (182601), we get a palindrome (10628282601).

The spelling of 10628100000 in words is "ten billion, six hundred twenty-eight million, one hundred thousand".