11628223830 has 96 divisors (see below), whose sum is σ = 31073945760. Its totient is φ = 3015290880.

The previous prime is 11628223819. The next prime is 11628223883. The reversal of 11628223830 is 3832282611.

11628223830 is a `hidden beast` number, since 1 + 1 + 628 + 2 + 23 + 8 + 3 + 0 = 666.

11628223830 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879670 + ... + 892790.

It is an arithmetic number, because the mean of its divisors is an integer number (323686935).

Almost surely, 2^11628223830 is an apocalyptic number.

11628223830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11628223830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15536972880).

11628223830 is an abundant number, since it is smaller than the sum of its proper divisors (19445721930).

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

11628223830 is a wasteful number, since it uses less digits than its factorization.

11628223830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13406 (or 13403 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11628223830 in words is "eleven billion, six hundred twenty-eight million, two hundred twenty-three thousand, eight hundred thirty".