10638140928 has 160 divisors (see below), whose sum is σ = 29250270720. Its totient is φ = 3433881600.

The previous prime is 10638140923. The next prime is 10638140971. The reversal of 10638140928 is 82904183601.

It is a super-2 number, since 2×10638140928² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10638140928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638140921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7290663 + ... + 7292121.

It is an arithmetic number, because the mean of its divisors is an integer number (182814192).

Almost surely, 2^10638140928 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 10638140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14625135360).

10638140928 is an abundant number, since it is smaller than the sum of its proper divisors (18612129792).

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

10638140928 is a wasteful number, since it uses less digits than its factorization.

10638140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 10638140928 in words is "ten billion, six hundred thirty-eight million, one hundred forty thousand, nine hundred twenty-eight".