115849728 has 120 divisors (see below), whose sum is σ = 345561216. Its totient is φ = 37324800.

The previous prime is 115849717. The next prime is 115849739. The reversal of 115849728 is 827948511.

115849728 is a `hidden beast` number, since 1 + 158 + 497 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (115849717) and next prime (115849739).

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 11 ways as a sum of consecutive naturals, for example, 142443 + ... + 143253.

Almost surely, 2^115849728 is an apocalyptic number.

115849728 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 115849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172780608).

115849728 is an abundant number, since it is smaller than the sum of its proper divisors (229711488).

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

115849728 is an equidigital number, since it uses as much as digits as its factorization.

115849728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 847 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The square root of 115849728 is about 10763.3511510124. The cubic root of 115849728 is about 487.4892084396.

It can be divided in two parts, 11584 and 9728, that added together give a palindrome (21312).

The spelling of 115849728 in words is "one hundred fifteen million, eight hundred forty-nine thousand, seven hundred twenty-eight".