192448000 has 160 divisors (see below), whose sum is σ = 500467968. Its totient is φ = 73728000.

The previous prime is 192447991. The next prime is 192448019. The reversal of 192448000 is 844291.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 192448000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983952 + ... + 1984048.

Almost surely, 2^192448000 is an apocalyptic number.

192448000 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 192448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250233984).

192448000 is an abundant number, since it is smaller than the sum of its proper divisors (308019968).

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

192448000 is an frugal number, since it uses more digits than its factorization.

192448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 192448000 is about 13872.5628490196. The cubic root of 192448000 is about 577.3481794522.

The spelling of 192448000 in words is "one hundred ninety-two million, four hundred forty-eight thousand".