1128681216 has 360 divisors, whose sum is σ = 3739538880. Its totient is φ = 336420864.

The previous prime is 1128681209. The next prime is 1128681241. The reversal of 1128681216 is 6121868211.

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, 14287065 + ... + 14287143.

It is an arithmetic number, because the mean of its divisors is an integer number (10387608).

Almost surely, 2^1128681216 is an apocalyptic number.

1128681216 is a gapful number since it is divisible by the number (16) 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 1128681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869769440).

1128681216 is an abundant number, since it is smaller than the sum of its proper divisors (2610857664).

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

1128681216 is an equidigital number, since it uses as much as digits as its factorization.

1128681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 150 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 1128681216 is about 33595.8511724290. The cubic root of 1128681216 is about 1041.1750820469.

The spelling of 1128681216 in words is "one billion, one hundred twenty-eight million, six hundred eighty-one thousand, two hundred sixteen".