193804128 has 144 divisors (see below), whose sum is σ = 634023936. Its totient is φ = 55008000.

The previous prime is 193804111. The next prime is 193804147. The reversal of 193804128 is 821408391.

193804128 is digitally balanced in base 2, 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 (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 193804092 and 193804101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505825 + ... + 506207.

It is an arithmetic number, because the mean of its divisors is an integer number (4402944).

Almost surely, 2^193804128 is an apocalyptic number.

193804128 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 193804128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317011968).

193804128 is an abundant number, since it is smaller than the sum of its proper divisors (440219808).

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

193804128 is a wasteful number, since it uses less digits than its factorization.

193804128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 193804128 is about 13921.3551064543. The cubic root of 193804128 is about 578.7011442385.

The spelling of 193804128 in words is "one hundred ninety-three million, eight hundred four thousand, one hundred twenty-eight".