144289728 has 112 divisors (see below), whose sum is σ = 462808320. Its totient is φ = 43718400.

The previous prime is 144289723. The next prime is 144289753. The reversal of 144289728 is 827982441.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144289721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15213 + ... + 22803.

Almost surely, 2^144289728 is an apocalyptic number.

144289728 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 144289728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231404160).

144289728 is an abundant number, since it is smaller than the sum of its proper divisors (318518592).

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

144289728 is a wasteful number, since it uses less digits than its factorization.

144289728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7623 (or 7607 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 144289728 is about 12012.0659338850. The cubic root of 144289728 is about 524.4995721253.

The spelling of 144289728 in words is "one hundred forty-four million, two hundred eighty-nine thousand, seven hundred twenty-eight".