444191328 has 72 divisors (see below), whose sum is σ = 1443628368. Its totient is φ = 126911232.

The previous prime is 444191303. The next prime is 444191381. The reversal of 444191328 is 823191444.

It is a happy number.

444191328 is a `hidden beast` number, since 444 + 191 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 444191292 and 444191301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108151 + ... + 112182.

It is an arithmetic number, because the mean of its divisors is an integer number (20050394).

Almost surely, 2^444191328 is an apocalyptic number.

444191328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444191328 is an abundant number, since it is smaller than the sum of its proper divisors (999437040).

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

444191328 is a wasteful number, since it uses less digits than its factorization.

444191328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220356 (or 220345 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 444191328 is about 21075.8470292418. The cubic root of 444191328 is about 762.9979278584.

The spelling of 444191328 in words is "four hundred forty-four million, one hundred ninety-one thousand, three hundred twenty-eight".