1144028880 has 320 divisors, whose sum is σ = 4114022400. Its totient is φ = 291985920.

The previous prime is 1144028869. The next prime is 1144028881. The reversal of 1144028880 is 888204411.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144028881) 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 63 ways as a sum of consecutive naturals, for example, 5989585 + ... + 5989775.

It is an arithmetic number, because the mean of its divisors is an integer number (12856320).

Almost surely, 2^1144028880 is an apocalyptic number.

1144028880 is a gapful number since it is divisible by the number (10) 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 1144028880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2057011200).

1144028880 is an abundant number, since it is smaller than the sum of its proper divisors (2969993520).

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

1144028880 is a wasteful number, since it uses less digits than its factorization.

1144028880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1144028880 is about 33823.4959754310. The cubic root of 1144028880 is about 1045.8731071400.

The spelling of 1144028880 in words is "one billion, one hundred forty-four million, twenty-eight thousand, eight hundred eighty".