11895827328 has 384 divisors, whose sum is σ = 43420665600. Its totient is φ = 3036119040.

The previous prime is 11895827311. The next prime is 11895827341. The reversal of 11895827328 is 82372859811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5232400 + ... + 5234672.

It is an arithmetic number, because the mean of its divisors is an integer number (113074650).

Almost surely, 2^11895827328 is an apocalyptic number.

11895827328 is a gapful number since it is divisible by the number (18) 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 11895827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21710332800).

11895827328 is an abundant number, since it is smaller than the sum of its proper divisors (31524838272).

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

11895827328 is a wasteful number, since it uses less digits than its factorization.

11895827328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370 (or 2355 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 11895827328 in words is "eleven billion, eight hundred ninety-five million, eight hundred twenty-seven thousand, three hundred twenty-eight".