11829497328 has 480 divisors, whose sum is σ = 40646541312. Its totient is φ = 3168460800.

The previous prime is 11829497293. The next prime is 11829497341. The reversal of 11829497328 is 82379492811.

11829497328 is a `hidden beast` number, since 118 + 2 + 9 + 497 + 32 + 8 = 666.

11829497328 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 95 ways as a sum of consecutive naturals, for example, 30886225 + ... + 30886607.

Almost surely, 2^11829497328 is an apocalyptic number.

11829497328 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 11829497328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20323270656).

11829497328 is an abundant number, since it is smaller than the sum of its proper divisors (28817043984).

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

11829497328 is a wasteful number, since it uses less digits than its factorization.

11829497328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 484 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 11829497328 in words is "eleven billion, eight hundred twenty-nine million, four hundred ninety-seven thousand, three hundred twenty-eight".