128481444 has 192 divisors, whose sum is σ = 434649600. Its totient is φ = 31850496.

The previous prime is 128481403. The next prime is 128481469. The reversal of 128481444 is 444184821.

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

It is a junction number, because it is equal to n+sod(n) for n = 128481399 and 128481408.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 166692 + ... + 167460.

It is an arithmetic number, because the mean of its divisors is an integer number (2263800).

Almost surely, 2^128481444 is an apocalyptic number.

128481444 is a gapful number since it is divisible by the number (14) 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 128481444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217324800).

128481444 is an abundant number, since it is smaller than the sum of its proper divisors (306168156).

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

128481444 is a wasteful number, since it uses less digits than its factorization.

128481444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 128481444 is about 11334.9655491316. The cubic root of 128481444 is about 504.5994850698.

It can be divided in two parts, 1284 and 81444, that added together give a palindrome (82728).

The spelling of 128481444 in words is "one hundred twenty-eight million, four hundred eighty-one thousand, four hundred forty-four".