115766028 has 216 divisors, whose sum is σ = 368484480. Its totient is φ = 30481920.

The previous prime is 115766009. The next prime is 115766117. The reversal of 115766028 is 820667511.

115766028 is a `hidden beast` number, since 1 + 1 + 576 + 60 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 115765983 and 115766001.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1585800 + ... + 1585872.

Almost surely, 2^115766028 is an apocalyptic number.

115766028 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 115766028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184242240).

115766028 is an abundant number, since it is smaller than the sum of its proper divisors (252718452).

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

115766028 is a wasteful number, since it uses less digits than its factorization.

115766028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 115766028 is about 10759.4622542207. The cubic root of 115766028 is about 487.3717785071.

The spelling of 115766028 in words is "one hundred fifteen million, seven hundred sixty-six thousand, twenty-eight".