193428000 has 288 divisors, whose sum is σ = 715478400. Its totient is φ = 51321600.

The previous prime is 193427987. The next prime is 193428007. The reversal of 193428000 is 824391.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (193428007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971901 + ... + 972099.

It is an arithmetic number, because the mean of its divisors is an integer number (2484300).

Almost surely, 2^193428000 is an apocalyptic number.

193428000 is a gapful number since it is divisible by the number (10) 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 193428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).

193428000 is an abundant number, since it is smaller than the sum of its proper divisors (522050400).

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

193428000 is an equidigital number, since it uses as much as digits as its factorization.

193428000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 193428000 is about 13907.8395158989. The cubic root of 193428000 is about 578.3265277450.

The spelling of 193428000 in words is "one hundred ninety-three million, four hundred twenty-eight thousand".