10628292603918 has 96 divisors (see below), whose sum is σ = 23432619853440. Its totient is φ = 3211335547200.

The previous prime is 10628292603889. The next prime is 10628292603949. The reversal of 10628292603918 is 81930629282601.

10628292603918 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10628292603918² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971590893 + ... + 971601831.

It is an arithmetic number, because the mean of its divisors is an integer number (244089790140).

Almost surely, 2^{10628292603918} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10628292603918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11716309926720).

10628292603918 is an abundant number, since it is smaller than the sum of its proper divisors (12804327249522).

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

10628292603918 is a wasteful number, since it uses less digits than its factorization.

10628292603918 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14734 (or 14723 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 10628292603918 in words is "ten trillion, six hundred twenty-eight billion, two hundred ninety-two million, six hundred three thousand, nine hundred eighteen".