11928268320 has 96 divisors (see below), whose sum is σ = 37844573760. Its totient is φ = 3157969920.

The previous prime is 11928268291. The next prime is 11928268333. The reversal of 11928268320 is 2386282911.

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

It is a super-2 number, since 2×11928268320² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22671 + ... + 156110.

It is an arithmetic number, because the mean of its divisors is an integer number (394214310).

Almost surely, 2^11928268320 is an apocalyptic number.

11928268320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11928268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18922286880).

11928268320 is an abundant number, since it is smaller than the sum of its proper divisors (25916305440).

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

11928268320 is a wasteful number, since it uses less digits than its factorization.

11928268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178938 (or 178930 counting only the distinct ones).

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

The spelling of 11928268320 in words is "eleven billion, nine hundred twenty-eight million, two hundred sixty-eight thousand, three hundred twenty".