193840128 has 264 divisors, whose sum is σ = 625890720. Its totient is φ = 59719680.

The previous prime is 193840121. The next prime is 193840177. The reversal of 193840128 is 821048391.

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 = 193840092 and 193840101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193840121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4727788 + ... + 4727828.

Almost surely, 2^193840128 is an apocalyptic number.

193840128 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 193840128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312945360).

193840128 is an abundant number, since it is smaller than the sum of its proper divisors (432050592).

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

193840128 is an equidigital number, since it uses as much as digits as its factorization.

193840128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 65 counting only the distinct ones).

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

The square root of 193840128 is about 13922.6480239931. The cubic root of 193840128 is about 578.7369741450.

The spelling of 193840128 in words is "one hundred ninety-three million, eight hundred forty thousand, one hundred twenty-eight".