114582528 has 66 divisors (see below), whose sum is σ = 330881174. Its totient is φ = 38191104.

The previous prime is 114582497. The next prime is 114582539. The reversal of 114582528 is 825285411.

114582528 is a `hidden beast` number, since 11 + 45 + 82 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78004224 + 36578304 = 8832^2 + 6048^2 .

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 = 114582492 and 114582501.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3000 + ... + 15432.

Almost surely, 2^114582528 is an apocalyptic number.

114582528 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 114582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165440587).

114582528 is an abundant number, since it is smaller than the sum of its proper divisors (216298646).

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

114582528 is a wasteful number, since it uses less digits than its factorization.

114582528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12459 (or 12438 counting only the distinct ones).

The product of its digits is 25600, while the sum is 36.

The square root of 114582528 is about 10704.3228650859. The cubic root of 114582528 is about 485.7052523612.

The spelling of 114582528 in words is "one hundred fourteen million, five hundred eighty-two thousand, five hundred twenty-eight".