60828768 has 288 divisors, whose sum is σ = 233356032. Its totient is φ = 14515200.

The previous prime is 60828749. The next prime is 60828769. The reversal of 60828768 is 86782806.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60828769) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 288183 + ... + 288393.

It is an arithmetic number, because the mean of its divisors is an integer number (810264).

Almost surely, 2^60828768 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 60828768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116678016).

60828768 is an abundant number, since it is smaller than the sum of its proper divisors (172527264).

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

60828768 is a wasteful number, since it uses less digits than its factorization.

60828768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 60828768 is about 7799.2799667662. The cubic root of 60828768 is about 393.2810374470.

It can be divided in two parts, 60 and 828768, that added together give a palindrome (828828).

The spelling of 60828768 in words is "sixty million, eight hundred twenty-eight thousand, seven hundred sixty-eight".