1128223584 has 72 divisors (see below), whose sum is σ = 3215695392. Its totient is φ = 375217920.

The previous prime is 1128223567. The next prime is 1128223589. The reversal of 1128223584 is 4853228211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (1128223589) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129114 + ... + 137574.

It is an arithmetic number, because the mean of its divisors is an integer number (44662436).

Almost surely, 2^1128223584 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 1128223584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607847696).

1128223584 is an abundant number, since it is smaller than the sum of its proper divisors (2087471808).

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

1128223584 is a wasteful number, since it uses less digits than its factorization.

1128223584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 8929 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 1128223584 is about 33589.0396409305. The cubic root of 1128223584 is about 1041.0343456903.

The spelling of 1128223584 in words is "one billion, one hundred twenty-eight million, two hundred twenty-three thousand, five hundred eighty-four".