114251328 has 84 divisors (see below), whose sum is σ = 330067920. Its totient is φ = 37783296.

The previous prime is 114251323. The next prime is 114251341. The reversal of 114251328 is 823152411.

114251328 is a `hidden beast` number, since 1 + 142 + 513 + 2 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (114251323) 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 11 ways as a sum of consecutive naturals, for example, 79351 + ... + 80777.

It is an arithmetic number, because the mean of its divisors is an integer number (3929380).

Almost surely, 2^114251328 is an apocalyptic number.

114251328 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 114251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165033960).

114251328 is an abundant number, since it is smaller than the sum of its proper divisors (215816592).

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

114251328 is a wasteful number, since it uses less digits than its factorization.

114251328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1571 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 114251328 is about 10688.8412842553. The cubic root of 114251328 is about 485.2368248579.

The spelling of 114251328 in words is "one hundred fourteen million, two hundred fifty-one thousand, three hundred twenty-eight".