638028768 has 288 divisors, whose sum is σ = 2014558560. Its totient is φ = 175472640.

The previous prime is 638028761. The next prime is 638028779. The reversal of 638028768 is 867820836.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638028761) 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 47 ways as a sum of consecutive naturals, for example, 10459458 + ... + 10459518.

It is an arithmetic number, because the mean of its divisors is an integer number (6994995).

Almost surely, 2^638028768 is an apocalyptic number.

638028768 is a gapful number since it is divisible by the number (68) 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 638028768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1007279280).

638028768 is an abundant number, since it is smaller than the sum of its proper divisors (1376529792).

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

638028768 is a wasteful number, since it uses less digits than its factorization.

638028768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 638028768 is about 25259.2313422242. The cubic root of 638028768 is about 860.8881972021. Note that the first 3 decimals are identical.

The spelling of 638028768 in words is "six hundred thirty-eight million, twenty-eight thousand, seven hundred sixty-eight".