255728144 has 80 divisors (see below), whose sum is σ = 631209600. Its totient is φ = 97708032.

The previous prime is 255728129. The next prime is 255728159. The reversal of 255728144 is 441827552.

255728144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255728129) and next prime (255728159).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 255728098 and 255728107.

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 15 ways as a sum of consecutive naturals, for example, 32642 + ... + 39710.

It is an arithmetic number, because the mean of its divisors is an integer number (7890120).

Almost surely, 2^255728144 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 255728144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315604800).

255728144 is an abundant number, since it is smaller than the sum of its proper divisors (375481456).

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

255728144 is a wasteful number, since it uses less digits than its factorization.

255728144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7120 (or 7114 counting only the distinct ones).

The product of its digits is 89600, while the sum is 38.

The square root of 255728144 is about 15991.5022433791. The cubic root of 255728144 is about 634.7355784184.

The spelling of 255728144 in words is "two hundred fifty-five million, seven hundred twenty-eight thousand, one hundred forty-four".