116224128 has 96 divisors (see below), whose sum is σ = 336658140. Its totient is φ = 38486016.

The previous prime is 116224123. The next prime is 116224133. The reversal of 116224128 is 821422611.

116224128 is a `hidden beast` number, since 11 + 622 + 4 + 1 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (116224123) and next prime (116224133).

It can be written as a sum of positive squares in 2 ways, for example, as 100160064 + 16064064 = 10008^2 + 4008^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (116224123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268200 + ... + 268632.

Almost surely, 2^116224128 is an apocalyptic number.

116224128 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 116224128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168329070).

116224128 is an abundant number, since it is smaller than the sum of its proper divisors (220434012).

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

116224128 is a wasteful number, since it uses less digits than its factorization.

116224128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 671 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 116224128 is about 10780.7294743909. The cubic root of 116224128 is about 488.0137951847.

Adding to 116224128 its reverse (821422611), we get a palindrome (937646739).

The spelling of 116224128 in words is "one hundred sixteen million, two hundred twenty-four thousand, one hundred twenty-eight".