128636424 has 224 divisors, whose sum is σ = 434401920. Its totient is φ = 34898688.

The previous prime is 128636423. The next prime is 128636437. The reversal of 128636424 is 424636821.

128636424 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 3 + 642 + 4 = 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 not an unprimeable number, because it can be changed into a prime (128636423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 938884 + ... + 939020.

Almost surely, 2^128636424 is an apocalyptic number.

128636424 is a gapful number since it is divisible by the number (14) 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 128636424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217200960).

128636424 is an abundant number, since it is smaller than the sum of its proper divisors (305765496).

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

128636424 is a wasteful number, since it uses less digits than its factorization.

128636424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 172 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 128636424 is about 11341.7998571655. The cubic root of 128636424 is about 504.8022936179.

The spelling of 128636424 in words is "one hundred twenty-eight million, six hundred thirty-six thousand, four hundred twenty-four".