4912705728 has 168 divisors, whose sum is σ = 16689417472. Its totient is φ = 1403599104.

The previous prime is 4912705727. The next prime is 4912705729. The reversal of 4912705728 is 8275072194.

It is a happy number.

4912705728 is a `hidden beast` number, since 4 + 9 + 1 + 2 + 70 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4912705727) and next prime (4912705729).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (4912705727) 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 23 ways as a sum of consecutive naturals, for example, 86301 + ... + 131427.

Almost surely, 2^4912705728 is an apocalyptic number.

4912705728 is a gapful number since it is divisible by the number (48) 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 4912705728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344708736).

4912705728 is an abundant number, since it is smaller than the sum of its proper divisors (11776711744).

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

4912705728 is an equidigital number, since it uses as much as digits as its factorization.

4912705728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45161 (or 45139 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4912705728 is about 70090.6964439647. The cubic root of 4912705728 is about 1699.9660579152.

The spelling of 4912705728 in words is "four billion, nine hundred twelve million, seven hundred five thousand, seven hundred twenty-eight".