10578920928 has 96 divisors (see below), whose sum is σ = 29853411840. Its totient is φ = 3269606400.

The previous prime is 10578920927. The next prime is 10578920941. The reversal of 10578920928 is 82902987501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10578920928² (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 (10578920923) 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, 24028 + ... + 147428.

It is an arithmetic number, because the mean of its divisors is an integer number (310973040).

Almost surely, 2^10578920928 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 10578920928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926705920).

10578920928 is an abundant number, since it is smaller than the sum of its proper divisors (19274490912).

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

10578920928 is a wasteful number, since it uses less digits than its factorization.

10578920928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123480 (or 123472 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 51.

The spelling of 10578920928 in words is "ten billion, five hundred seventy-eight million, nine hundred twenty thousand, nine hundred twenty-eight".