4312728576 has 352 divisors, whose sum is σ = 14030956800. Its totient is φ = 1308303360.

The previous prime is 4312728569. The next prime is 4312728577. The reversal of 4312728576 is 6758272134.

4312728576 is a `hidden beast` number, since 4 + 3 + 1 + 2 + 72 + 8 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (4312728577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60742621 + ... + 60742691.

Almost surely, 2^4312728576 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 4312728576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015478400).

4312728576 is an abundant number, since it is smaller than the sum of its proper divisors (9718228224).

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

4312728576 is an equidigital number, since it uses as much as digits as its factorization.

4312728576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 4312728576 is about 65671.3680076790. The cubic root of 4312728576 is about 1627.7362752382.

The spelling of 4312728576 in words is "four billion, three hundred twelve million, seven hundred twenty-eight thousand, five hundred seventy-six".