1144801728 has 448 divisors, whose sum is σ = 4119920640. Its totient is φ = 304819200.

The previous prime is 1144801727. The next prime is 1144801741. The reversal of 1144801728 is 8271084411.

1144801728 is a `hidden beast` number, since 1 + 1 + 4 + 480 + 172 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 1144801692 and 1144801701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144801727) 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, 16123933 + ... + 16124003.

Almost surely, 2^1144801728 is an apocalyptic number.

1144801728 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 1144801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059960320).

1144801728 is an abundant number, since it is smaller than the sum of its proper divisors (2975118912).

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

1144801728 is a wasteful number, since it uses less digits than its factorization.

1144801728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1144801728 is about 33834.9187674509. The cubic root of 1144801728 is about 1046.1085671025.

The spelling of 1144801728 in words is "one billion, one hundred forty-four million, eight hundred one thousand, seven hundred twenty-eight".