144446328 has 120 divisors (see below), whose sum is σ = 438431400. Its totient is φ = 44411328.

The previous prime is 144446327. The next prime is 144446387. The reversal of 144446328 is 823644441.

144446328 is a `hidden beast` number, since 14 + 4 + 4 + 4 + 632 + 8 = 666.

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 = 144446292 and 144446301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144446327) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 108853 + ... + 110171.

It is an arithmetic number, because the mean of its divisors is an integer number (3653595).

Almost surely, 2^144446328 is an apocalyptic number.

144446328 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 144446328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219215700).

144446328 is an abundant number, since it is smaller than the sum of its proper divisors (293985072).

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

144446328 is a wasteful number, since it uses less digits than its factorization.

144446328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1337 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 144446328 is about 12018.5826119389. The cubic root of 144446328 is about 524.6892528399.

The spelling of 144446328 in words is "one hundred forty-four million, four hundred forty-six thousand, three hundred twenty-eight".