10223759728 has 80 divisors (see below), whose sum is σ = 24400660480. Its totient is φ = 4041093888.

The previous prime is 10223759633. The next prime is 10223759753. The reversal of 10223759728 is 82795732201.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2296801 + ... + 2301247.

It is an arithmetic number, because the mean of its divisors is an integer number (305008256).

Almost surely, 2^10223759728 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 10223759728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12200330240).

10223759728 is an abundant number, since it is smaller than the sum of its proper divisors (14176900752).

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

10223759728 is a wasteful number, since it uses less digits than its factorization.

10223759728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6054 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 46.

The spelling of 10223759728 in words is "ten billion, two hundred twenty-three million, seven hundred fifty-nine thousand, seven hundred twenty-eight".