1128055824 has 120 divisors (see below), whose sum is σ = 3641443520. Its totient is φ = 319313664.

The previous prime is 1128055823. The next prime is 1128055853. The reversal of 1128055824 is 4285508211.

1128055824 is a `hidden beast` number, since 1 + 1 + 2 + 80 + 558 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1128055823) 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 23 ways as a sum of consecutive naturals, for example, 104739 + ... + 115005.

Almost surely, 2^1128055824 is an apocalyptic number.

1128055824 is a gapful number since it is divisible by the number (14) 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 1128055824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820721760).

1128055824 is an abundant number, since it is smaller than the sum of its proper divisors (2513387696).

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

1128055824 is a wasteful number, since it uses less digits than its factorization.

1128055824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10397 (or 10388 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1128055824 is about 33586.5423049173. The cubic root of 1128055824 is about 1040.9827446361.

The spelling of 1128055824 in words is "one billion, one hundred twenty-eight million, fifty-five thousand, eight hundred twenty-four".