10628302000 has 80 divisors (see below), whose sum is σ = 26184386592. Its totient is φ = 4171065600.

The previous prime is 10628301989. The next prime is 10628302049. The reversal of 10628302000 is 20382601.

10628302000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10628302000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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, 55867 + ... + 156133.

Almost surely, 2^10628302000 is an apocalyptic number.

10628302000 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 10628302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13092193296).

10628302000 is an abundant number, since it is smaller than the sum of its proper divisors (15556084592).

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

10628302000 is a wasteful number, since it uses less digits than its factorization.

10628302000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100343 (or 100327 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10628302000 its reverse (20382601), we get a palindrome (10648684601).

The spelling of 10628302000 in words is "ten billion, six hundred twenty-eight million, three hundred two thousand".