114935328 has 96 divisors (see below), whose sum is σ = 338022720. Its totient is φ = 37992960.

The previous prime is 114935291. The next prime is 114935371. The reversal of 114935328 is 823539411.

114935328 is a `hidden beast` number, since 114 + 9 + 3 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114935292 and 114935301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117883 + ... + 118853.

It is an arithmetic number, because the mean of its divisors is an integer number (3521070).

Almost surely, 2^114935328 is an apocalyptic number.

114935328 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 114935328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169011360).

114935328 is an abundant number, since it is smaller than the sum of its proper divisors (223087392).

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

114935328 is a wasteful number, since it uses less digits than its factorization.

114935328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1113 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 114935328 is about 10720.7895231648. The cubic root of 114935328 is about 486.2032376615.

The spelling of 114935328 in words is "one hundred fourteen million, nine hundred thirty-five thousand, three hundred twenty-eight".