11730628224 has 384 divisors, whose sum is σ = 41065444800. Its totient is φ = 3285854208.

The previous prime is 11730628219. The next prime is 11730628229. The reversal of 11730628224 is 42282603711.

It is a happy number.

11730628224 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 0 + 628 + 2 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (11730628219) and next prime (11730628229).

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11730628229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8974579 + ... + 8975885.

Almost surely, 2^11730628224 is an apocalyptic number.

11730628224 is a gapful number since it is divisible by the number (14) 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 11730628224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20532722400).

11730628224 is an abundant number, since it is smaller than the sum of its proper divisors (29334816576).

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

11730628224 is a wasteful number, since it uses less digits than its factorization.

11730628224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

It can be divided in two parts, 117306 and 28224, that added together give a triangular number (145530 = T₅₃₉).

The spelling of 11730628224 in words is "eleven billion, seven hundred thirty million, six hundred twenty-eight thousand, two hundred twenty-four".