114828168 has 256 divisors, whose sum is σ = 383040000. Its totient is φ = 28449792.

The previous prime is 114828143. The next prime is 114828173. The reversal of 114828168 is 861828411.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

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 63 ways as a sum of consecutive naturals, for example, 3103446 + ... + 3103482.

It is an arithmetic number, because the mean of its divisors is an integer number (1496250).

Almost surely, 2^114828168 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 114828168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191520000).

114828168 is an abundant number, since it is smaller than the sum of its proper divisors (268211832).

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

114828168 is a wasteful number, since it uses less digits than its factorization.

114828168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 91 counting only the distinct ones).

The product of its digits is 24576, while the sum is 39.

The square root of 114828168 is about 10715.7905914589. The cubic root of 114828168 is about 486.0520867475.

The spelling of 114828168 in words is "one hundred fourteen million, eight hundred twenty-eight thousand, one hundred sixty-eight".