10638836628 has 96 divisors (see below), whose sum is σ = 28721172480. Its totient is φ = 3002227200.

The previous prime is 10638836597. The next prime is 10638836629. The reversal of 10638836628 is 82663883601.

It is a super-2 number, since 2×10638836628² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10638836629) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3796828 + ... + 3799628.

It is an arithmetic number, because the mean of its divisors is an integer number (299178880).

Almost surely, 2^10638836628 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 10638836628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14360586240).

10638836628 is an abundant number, since it is smaller than the sum of its proper divisors (18082335852).

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

10638836628 is a wasteful number, since it uses less digits than its factorization.

10638836628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 10638836628 in words is "ten billion, six hundred thirty-eight million, eight hundred thirty-six thousand, six hundred twenty-eight".