114121728 has 264 divisors, whose sum is σ = 395971680. Its totient is φ = 30965760.

The previous prime is 114121681. The next prime is 114121729. The reversal of 114121728 is 827121411.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114121729) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1870818 + ... + 1870878.

Almost surely, 2^114121728 is an apocalyptic number.

114121728 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 114121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197985840).

114121728 is an abundant number, since it is smaller than the sum of its proper divisors (281849952).

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

114121728 is a wasteful number, since it uses less digits than its factorization.

114121728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 114121728 is about 10682.7771670105. Note that the first 3 decimals coincide. The cubic root of 114121728 is about 485.0532807161.

The spelling of 114121728 in words is "one hundred fourteen million, one hundred twenty-one thousand, seven hundred twenty-eight".