114915328 has 48 divisors (see below), whose sum is σ = 250712280. Its totient is φ = 52224000.

The previous prime is 114915293. The next prime is 114915343. The reversal of 114915328 is 823519411.

It is a super-3 number, since 3×114915328³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114915293 and 114915302.

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 3 ways as a sum of consecutive naturals, for example, 19978 + ... + 25078.

Almost surely, 2^114915328 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 114915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125356140).

114915328 is an abundant number, since it is smaller than the sum of its proper divisors (135796952).

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

114915328 is an equidigital number, since it uses as much as digits as its factorization.

114915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134 (or 5114 counting only the distinct ones).

The product of its digits is 8640, while the sum is 34.

The square root of 114915328 is about 10719.8567154603. The cubic root of 114915328 is about 486.1750344711.

The spelling of 114915328 in words is "one hundred fourteen million, nine hundred fifteen thousand, three hundred twenty-eight".