114305928 has 64 divisors (see below), whose sum is σ = 321822720. Its totient is φ = 33518400.

The previous prime is 114305899. The next prime is 114305963. The reversal of 114305928 is 829503411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1201 + ... + 15167.

It is an arithmetic number, because the mean of its divisors is an integer number (5028480).

Almost surely, 2^114305928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114305928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160911360).

114305928 is an abundant number, since it is smaller than the sum of its proper divisors (207516792).

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

114305928 is a wasteful number, since it uses less digits than its factorization.

114305928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14018 (or 14014 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 114305928 is about 10691.3950446141. The cubic root of 114305928 is about 485.3141097694.

The spelling of 114305928 in words is "one hundred fourteen million, three hundred five thousand, nine hundred twenty-eight".