114119928 has 320 divisors, whose sum is σ = 390297600. Its totient is φ = 30792960.

The previous prime is 114119927. The next prime is 114119953. The reversal of 114119928 is 829911411.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 114119892 and 114119901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114119921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3681273 + ... + 3681303.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 2^114119928 is an apocalyptic number.

114119928 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 114119928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195148800).

114119928 is an abundant number, since it is smaller than the sum of its proper divisors (276177672).

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

114119928 is a wasteful number, since it uses less digits than its factorization.

114119928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its digits is 5184, while the sum is 36.

The square root of 114119928 is about 10682.6929189226. The cubic root of 114119928 is about 485.0507305138.

The spelling of 114119928 in words is "one hundred fourteen million, one hundred nineteen thousand, nine hundred twenty-eight".