447328128 has 192 divisors, whose sum is σ = 1319312880. Its totient is φ = 134184960.

The previous prime is 447328121. The next prime is 447328129. The reversal of 447328128 is 821823744.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (86016) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447328121) 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, 3958600 + ... + 3958712.

Almost surely, 2^447328128 is an apocalyptic number.

447328128 is a gapful number since it is divisible by the number (48) 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 447328128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659656440).

447328128 is an abundant number, since it is smaller than the sum of its proper divisors (871984752).

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

447328128 is a wasteful number, since it uses less digits than its factorization.

447328128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 447328128 is about 21150.1330492269. The cubic root of 447328128 is about 764.7897683662.

The spelling of 447328128 in words is "four hundred forty-seven million, three hundred twenty-eight thousand, one hundred twenty-eight".