1128163680 has 192 divisors, whose sum is σ = 4512775680. Its totient is φ = 257859072.

The previous prime is 1128163591. The next prime is 1128163723. The reversal of 1128163680 is 863618211.

1128163680 is a `hidden beast` number, since 1 + 12 + 8 + 1 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×1128163680² = 2545506577742284800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11587 + ... + 48893.

It is an arithmetic number, because the mean of its divisors is an integer number (23504040).

Almost surely, 2^1128163680 is an apocalyptic number.

1128163680 is a gapful number since it is divisible by the number (10) 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 1128163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256387840).

1128163680 is an abundant number, since it is smaller than the sum of its proper divisors (3384612000).

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

1128163680 is a wasteful number, since it uses less digits than its factorization.

1128163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37338 (or 37324 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1128163680 is about 33588.1479096422. The cubic root of 1128163680 is about 1041.0159204933.

The spelling of 1128163680 in words is "one billion, one hundred twenty-eight million, one hundred sixty-three thousand, six hundred eighty".