128316384 has 72 divisors (see below), whose sum is σ = 417034800. Its totient is φ = 36661248.

The previous prime is 128316361. The next prime is 128316389. The reversal of 128316384 is 483613821.

128316384 is a `hidden beast` number, since 12 + 8 + 3 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×128316384³ (a number of 25 digits) contains 333 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (128316389) 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, 29809 + ... + 33840.

It is an arithmetic number, because the mean of its divisors is an integer number (5792150).

Almost surely, 2^128316384 is an apocalyptic number.

128316384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

128316384 is an abundant number, since it is smaller than the sum of its proper divisors (288718416).

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

128316384 is a wasteful number, since it uses less digits than its factorization.

128316384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63672 (or 63661 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 128316384 is about 11327.6821989320. The cubic root of 128316384 is about 504.3833062944.

The spelling of 128316384 in words is "one hundred twenty-eight million, three hundred sixteen thousand, three hundred eighty-four".