128144844 has 72 divisors (see below), whose sum is σ = 351409968. Its totient is φ = 39214080.

The previous prime is 128144843. The next prime is 128144867. The reversal of 128144844 is 448441821.

It is a super-2 number, since 2×128144844² = 32842202087568672, which contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 128144799 and 128144808.

It is not an unprimeable number, because it can be changed into a prime (128144843) 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, 22539 + ... + 27645.

It is an arithmetic number, because the mean of its divisors is an integer number (4880694).

Almost surely, 2^128144844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128144844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175704984).

128144844 is an abundant number, since it is smaller than the sum of its proper divisors (223265124).

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

128144844 is a wasteful number, since it uses less digits than its factorization.

128144844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175 (or 5170 counting only the distinct ones).

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

The square root of 128144844 is about 11320.1079500153. The cubic root of 128144844 is about 504.1584441373.

The spelling of 128144844 in words is "one hundred twenty-eight million, one hundred forty-four thousand, eight hundred forty-four".