115785828 has 48 divisors (see below), whose sum is σ = 301667520. Its totient is φ = 38404800.

The previous prime is 115785821. The next prime is 115785833. The reversal of 115785828 is 828587511.

115785828 is a `hidden beast` number, since 1 + 1 + 578 + 58 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (115785821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20248 + ... + 25328.

It is an arithmetic number, because the mean of its divisors is an integer number (6284740).

Almost surely, 2^115785828 is an apocalyptic number.

115785828 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 115785828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150833760).

115785828 is an abundant number, since it is smaller than the sum of its proper divisors (185881692).

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

115785828 is a wasteful number, since it uses less digits than its factorization.

115785828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5305 (or 5297 counting only the distinct ones).

The product of its digits is 179200, while the sum is 45.

The square root of 115785828 is about 10760.3823352147. The cubic root of 115785828 is about 487.3995627408.

The spelling of 115785828 in words is "one hundred fifteen million, seven hundred eighty-five thousand, eight hundred twenty-eight".