10628493568 has 432 divisors, whose sum is σ = 29896884864. Its totient is φ = 3709009920.

The previous prime is 10628493541. The next prime is 10628493569. The reversal of 10628493568 is 86539482601.

It is a super-2 number, since 2×10628493568² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10628493569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53951646 + ... + 53951842.

It is an arithmetic number, because the mean of its divisors is an integer number (69205752).

Almost surely, 2^10628493568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10628493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14948442432).

10628493568 is an abundant number, since it is smaller than the sum of its proper divisors (19268391296).

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

10628493568 is a wasteful number, since it uses less digits than its factorization.

10628493568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 52.

The spelling of 10628493568 in words is "ten billion, six hundred twenty-eight million, four hundred ninety-three thousand, five hundred sixty-eight".