11408960928 has 96 divisors (see below), whose sum is σ = 30629563776. Its totient is φ = 3717439488.

The previous prime is 11408960911. The next prime is 11408960947. The reversal of 11408960928 is 82906980411.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 784701 + ... + 799107.

It is an arithmetic number, because the mean of its divisors is an integer number (319057956).

Almost surely, 2^11408960928 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 11408960928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15314781888).

11408960928 is an abundant number, since it is smaller than the sum of its proper divisors (19220602848).

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

11408960928 is a wasteful number, since it uses less digits than its factorization.

11408960928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14606 (or 14598 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 11408960928 in words is "eleven billion, four hundred eight million, nine hundred sixty thousand, nine hundred twenty-eight".