636013728 has 288 divisors, whose sum is σ = 2195968320. Its totient is φ = 178536960.

The previous prime is 636013717. The next prime is 636013747. The reversal of 636013728 is 827310636.

It is a happy number.

636013728 is a `hidden beast` number, since 636 + 0 + 13 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 636013692 and 636013701.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3513798 + ... + 3513978.

It is an arithmetic number, because the mean of its divisors is an integer number (7624890).

Almost surely, 2^636013728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 636013728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097984160).

636013728 is an abundant number, since it is smaller than the sum of its proper divisors (1559954592).

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

636013728 is a wasteful number, since it uses less digits than its factorization.

636013728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 636013728 is about 25219.3125996725. The cubic root of 636013728 is about 859.9809478382.

The spelling of 636013728 in words is "six hundred thirty-six million, thirteen thousand, seven hundred twenty-eight".