10223782128 has 60 divisors (see below), whose sum is σ = 32699877808. Its totient is φ = 2921080320.

The previous prime is 10223782123. The next prime is 10223782147. The reversal of 10223782128 is 82128732201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10223782092 and 10223782101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223782123) 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 11 ways as a sum of consecutive naturals, for example, 5070313 + ... + 5072328.

Almost surely, 2^10223782128 is an apocalyptic number.

10223782128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10223782128 is an abundant number, since it is smaller than the sum of its proper divisors (22476095680).

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

10223782128 is a wasteful number, since it uses less digits than its factorization.

10223782128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142662 (or 10142653 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 10223782128 in words is "ten billion, two hundred twenty-three million, seven hundred eighty-two thousand, one hundred twenty-eight".