11407793328 has 80 divisors (see below), whose sum is σ = 32953352160. Its totient is φ = 3778354944.

The previous prime is 11407793321. The next prime is 11407793333. The reversal of 11407793328 is 82339770411.

It is a super-2 number, since 2×11407793328² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11407793321) 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, 16275 + ... + 151922.

It is an arithmetic number, because the mean of its divisors is an integer number (411916902).

Almost surely, 2^11407793328 is an apocalyptic number.

11407793328 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 11407793328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476676080).

11407793328 is an abundant number, since it is smaller than the sum of its proper divisors (21545558832).

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

11407793328 is a wasteful number, since it uses less digits than its factorization.

11407793328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168371 (or 168359 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 11407793328 in words is "eleven billion, four hundred seven million, seven hundred ninety-three thousand, three hundred twenty-eight".