1128821184 has 280 divisors, whose sum is σ = 3531705408. Its totient is φ = 356106240.

The previous prime is 1128821173. The next prime is 1128821191. The reversal of 1128821184 is 4811288211.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9989512 + ... + 9989624.

Almost surely, 2^1128821184 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 1128821184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765852704).

1128821184 is an abundant number, since it is smaller than the sum of its proper divisors (2402884224).

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

1128821184 is a wasteful number, since it uses less digits than its factorization.

1128821184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 206 counting only the distinct ones).

The product of its digits is 8192, while the sum is 36.

The square root of 1128821184 is about 33597.9342222107. The cubic root of 1128821184 is about 1041.2181190498.

The spelling of 1128821184 in words is "one billion, one hundred twenty-eight million, eight hundred twenty-one thousand, one hundred eighty-four".