1157185728 has 168 divisors, whose sum is σ = 3574084800. Its totient is φ = 356783616.

The previous prime is 1157185723. The next prime is 1157185741. The reversal of 1157185728 is 8275817511.

1157185728 is a `hidden beast` number, since 1 + 1 + 5 + 71 + 8 + 572 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1157185721) 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 23 ways as a sum of consecutive naturals, for example, 469363 + ... + 471821.

Almost surely, 2^1157185728 is an apocalyptic number.

1157185728 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 1157185728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787042400).

1157185728 is an abundant number, since it is smaller than the sum of its proper divisors (2416899072).

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

1157185728 is a wasteful number, since it uses less digits than its factorization.

1157185728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2526 counting only the distinct ones).

The product of its digits is 156800, while the sum is 45.

The square root of 1157185728 is about 34017.4327073634. The cubic root of 1157185728 is about 1049.8671723133.

The spelling of 1157185728 in words is "one billion, one hundred fifty-seven million, one hundred eighty-five thousand, seven hundred twenty-eight".