114288800 has 144 divisors (see below), whose sum is σ = 300605760. Its totient is φ = 42301440.

The previous prime is 114288799. The next prime is 114288803. The reversal of 114288800 is 8882411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (114288803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1109549 + ... + 1109651.

It is an arithmetic number, because the mean of its divisors is an integer number (2087540).

Almost surely, 2^114288800 is an apocalyptic number.

114288800 is a gapful number since it is divisible by the number (10) 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 114288800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150302880).

114288800 is an abundant number, since it is smaller than the sum of its proper divisors (186316960).

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

114288800 is a wasteful number, since it uses less digits than its factorization.

114288800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 114288800 is about 10690.5939965935. The cubic root of 114288800 is about 485.2898681707.

The spelling of 114288800 in words is "one hundred fourteen million, two hundred eighty-eight thousand, eight hundred".