4728759336 has 192 divisors, whose sum is σ = 15322245120. Its totient is φ = 1288172160.

The previous prime is 4728759331. The next prime is 4728759361. The reversal of 4728759336 is 6339578274.

4728759336 is a `hidden beast` number, since 47 + 2 + 8 + 7 + 593 + 3 + 6 = 666.

It is a super-2 number, since 2×4728759336² = 44722329715614321792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4728759331) 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, 5830371 + ... + 5831181.

It is an arithmetic number, because the mean of its divisors is an integer number (79803360).

Almost surely, 2^4728759336 is an apocalyptic number.

4728759336 is a gapful number since it is divisible by the number (46) 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 4728759336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7661122560).

4728759336 is an abundant number, since it is smaller than the sum of its proper divisors (10593485784).

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

4728759336 is a wasteful number, since it uses less digits than its factorization.

4728759336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1349 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 4728759336 is about 68765.9751330554. The cubic root of 4728759336 is about 1678.4783245255.

The spelling of 4728759336 in words is "four billion, seven hundred twenty-eight million, seven hundred fifty-nine thousand, three hundred thirty-six".