114365328 has 240 divisors, whose sum is σ = 387891840. Its totient is φ = 28385280.

The previous prime is 114365281. The next prime is 114365347. The reversal of 114365328 is 823563411.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1178976 + ... + 1179072.

It is an arithmetic number, because the mean of its divisors is an integer number (1616216).

Almost surely, 2^114365328 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 114365328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193945920).

114365328 is an abundant number, since it is smaller than the sum of its proper divisors (273526512).

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

114365328 is a wasteful number, since it uses less digits than its factorization.

114365328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 149 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 114365328 is about 10694.1726187677. The cubic root of 114365328 is about 485.3981610126.

The spelling of 114365328 in words is "one hundred fourteen million, three hundred sixty-five thousand, three hundred twenty-eight".