193807403328 has 224 divisors, whose sum is σ = 648074050560. Its totient is φ = 49649725440.

The previous prime is 193807403267. The next prime is 193807403329. The reversal of 193807403328 is 823304708391.

193807403328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×193807403328² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193807403329) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 989443 + ... + 1169021.

Almost surely, 2^193807403328 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 193807403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324037025280).

193807403328 is an abundant number, since it is smaller than the sum of its proper divisors (454266647232).

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

193807403328 is a wasteful number, since it uses less digits than its factorization.

193807403328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179685 (or 179675 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 193807403328 in words is "one hundred ninety-three billion, eight hundred seven million, four hundred three thousand, three hundred twenty-eight".