114827328 has 224 divisors, whose sum is σ = 421355520. Its totient is φ = 29790720.

The previous prime is 114827291. The next prime is 114827351. The reversal of 114827328 is 823728411.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 114827292 and 114827301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132625 + ... + 133487.

Almost surely, 2^114827328 is an apocalyptic number.

114827328 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 114827328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210677760).

114827328 is an abundant number, since it is smaller than the sum of its proper divisors (306528192).

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

114827328 is a wasteful number, since it uses less digits than its factorization.

114827328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 886 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 114827328 is about 10715.7513968923. The cubic root of 114827328 is about 486.0509015426.

The spelling of 114827328 in words is "one hundred fourteen million, eight hundred twenty-seven thousand, three hundred twenty-eight".