114995328 has 128 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 32535552.

The previous prime is 114995317. The next prime is 114995347. The reversal of 114995328 is 823599411.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 114995328.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 481033 + ... + 481271.

It is an arithmetic number, because the mean of its divisors is an integer number (2754000).

Almost surely, 2^114995328 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 114995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176256000).

114995328 is an abundant number, since it is smaller than the sum of its proper divisors (237516672).

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

114995328 is a wasteful number, since it uses less digits than its factorization.

114995328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 114995328 is about 10723.5874594279. The cubic root of 114995328 is about 486.2878276072.

The spelling of 114995328 in words is "one hundred fourteen million, nine hundred ninety-five thousand, three hundred twenty-eight".