114282432 has 168 divisors, whose sum is σ = 378726192. Its totient is φ = 32563200.

The previous prime is 114282407. The next prime is 114282479. The reversal of 114282432 is 234282411.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114282396 and 114282405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107182 + ... + 108242.

Almost surely, 2^114282432 is an apocalyptic number.

114282432 is a gapful number since it is divisible by the number (12) 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 114282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189363096).

114282432 is an abundant number, since it is smaller than the sum of its proper divisors (264443760).

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

114282432 is a wasteful number, since it uses less digits than its factorization.

114282432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1094 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 114282432 is about 10690.2961605374. The cubic root of 114282432 is about 485.2808547962.

The spelling of 114282432 in words is "one hundred fourteen million, two hundred eighty-two thousand, four hundred thirty-two".