1123465728 has 480 divisors, whose sum is σ = 4030456320. Its totient is φ = 274391040.

The previous prime is 1123465727. The next prime is 1123465747. The reversal of 1123465728 is 8275643211.

Its product of digits (80640) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (1123465727) 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 47 ways as a sum of consecutive naturals, for example, 19041763 + ... + 19041821.

It is an arithmetic number, because the mean of its divisors is an integer number (8396784).

Almost surely, 2^1123465728 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 1123465728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015228160).

1123465728 is an abundant number, since it is smaller than the sum of its proper divisors (2906990592).

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

1123465728 is a wasteful number, since it uses less digits than its factorization.

1123465728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 105 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 1123465728 is about 33518.1402825395. The cubic root of 1123465728 is about 1039.5688942990.

The spelling of 1123465728 in words is "one billion, one hundred twenty-three million, four hundred sixty-five thousand, seven hundred twenty-eight".