114192288 has 192 divisors, whose sum is σ = 387072000. Its totient is φ = 32078592.

The previous prime is 114192277. The next prime is 114192293. The reversal of 114192288 is 882291411.

It is a happy number.

114192288 is a `hidden beast` number, since 11 + 419 + 228 + 8 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 477673 + ... + 477911.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^114192288 is an apocalyptic number.

114192288 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 114192288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193536000).

114192288 is an abundant number, since it is smaller than the sum of its proper divisors (272879712).

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

114192288 is a wasteful number, since it uses less digits than its factorization.

114192288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 114192288 is about 10686.0791687129. The cubic root of 114192288 is about 485.1532275267.

The spelling of 114192288 in words is "one hundred fourteen million, one hundred ninety-two thousand, two hundred eighty-eight".