1128235680 has 288 divisors, whose sum is σ = 4524024960. Its totient is φ = 252426240.

The previous prime is 1128235649. The next prime is 1128235697. The reversal of 1128235680 is 865328211.

It is a happy number.

1128235680 is a `hidden beast` number, since 1 + 12 + 82 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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, 203181 + ... + 208659.

It is an arithmetic number, because the mean of its divisors is an integer number (15708420).

Almost surely, 2^1128235680 is an apocalyptic number.

1128235680 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 1128235680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262012480).

1128235680 is an abundant number, since it is smaller than the sum of its proper divisors (3395789280).

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

1128235680 is a wasteful number, since it uses less digits than its factorization.

1128235680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1128235680 is about 33589.2196991832. The cubic root of 1128235680 is about 1041.0380660836.

The spelling of 1128235680 in words is "one billion, one hundred twenty-eight million, two hundred thirty-five thousand, six hundred eighty".