1168345728 has 256 divisors, whose sum is σ = 3822307200. Its totient is φ = 348364800.

The previous prime is 1168345721. The next prime is 1168345747. The reversal of 1168345728 is 8275438611.

1168345728 is a `hidden beast` number, since 11 + 68 + 3 + 4 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1168345721) 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 31 ways as a sum of consecutive naturals, for example, 2774958 + ... + 2775378.

Almost surely, 2^1168345728 is an apocalyptic number.

1168345728 is a gapful number since it is divisible by the number (18) 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 1168345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911153600).

1168345728 is an abundant number, since it is smaller than the sum of its proper divisors (2653961472).

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

1168345728 is a wasteful number, since it uses less digits than its factorization.

1168345728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 510 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1168345728 is about 34181.0726572470. The cubic root of 1168345728 is about 1053.2313839622.

The spelling of 1168345728 in words is "one billion, one hundred sixty-eight million, three hundred forty-five thousand, seven hundred twenty-eight".