114913728 has 112 divisors (see below), whose sum is σ = 342412320. Its totient is φ = 38257920.

The previous prime is 114913723. The next prime is 114913739. The reversal of 114913728 is 827319411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 114913692 and 114913701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114913723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139558 + ... + 140378.

Almost surely, 2^114913728 is an apocalyptic number.

114913728 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 114913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171206160).

114913728 is an abundant number, since it is smaller than the sum of its proper divisors (227498592).

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

114913728 is an frugal number, since it uses more digits than its factorization.

114913728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 826 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 114913728 is about 10719.7820873374. The cubic root of 114913728 is about 486.1727780745.

The spelling of 114913728 in words is "one hundred fourteen million, nine hundred thirteen thousand, seven hundred twenty-eight".