114365728 has 48 divisors (see below), whose sum is σ = 234594360. Its totient is φ = 54835200.

The previous prime is 114365723. The next prime is 114365747. The reversal of 114365728 is 827563411.

It can be written as a sum of positive squares in 4 ways, for example, as 12194064 + 102171664 = 3492^2 + 10108^2 .

It is not an unprimeable number, because it can be changed into a prime (114365723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79318 + ... + 80746.

Almost surely, 2^114365728 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 114365728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117297180).

114365728 is an abundant number, since it is smaller than the sum of its proper divisors (120228632).

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

114365728 is a wasteful number, since it uses less digits than its factorization.

114365728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1533 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 114365728 is about 10694.1913205254. The cubic root of 114365728 is about 485.3987269155.

The spelling of 114365728 in words is "one hundred fourteen million, three hundred sixty-five thousand, seven hundred twenty-eight".