1144272528 has 320 divisors, whose sum is σ = 3919749120. Its totient is φ = 312864768.

The previous prime is 1144272523. The next prime is 1144272539. The reversal of 1144272528 is 8252724411.

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 = 1144272492 and 1144272501.

It is not an unprimeable number, because it can be changed into a prime (1144272523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11796576 + ... + 11796672.

It is an arithmetic number, because the mean of its divisors is an integer number (12249216).

Almost surely, 2^1144272528 is an apocalyptic number.

1144272528 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 1144272528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1959874560).

1144272528 is an abundant number, since it is smaller than the sum of its proper divisors (2775476592).

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

1144272528 is a wasteful number, since it uses less digits than its factorization.

1144272528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 239 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 1144272528 is about 33827.0975402857. The cubic root of 1144272528 is about 1045.9473496721.

Adding to 1144272528 its reverse (8252724411), we get a palindrome (9396996939).

The spelling of 1144272528 in words is "one billion, one hundred forty-four million, two hundred seventy-two thousand, five hundred twenty-eight".