4756127328 has 96 divisors (see below), whose sum is σ = 13912668000. Its totient is φ = 1580732928.

The previous prime is 4756127287. The next prime is 4756127333. The reversal of 4756127328 is 8237216574.

4756127328 is a `hidden beast` number, since 4 + 7 + 5 + 612 + 7 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293650 + ... + 309422.

It is an arithmetic number, because the mean of its divisors is an integer number (144923625).

Almost surely, 2^4756127328 is an apocalyptic number.

4756127328 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 4756127328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6956334000).

4756127328 is an abundant number, since it is smaller than the sum of its proper divisors (9156540672).

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

4756127328 is a wasteful number, since it uses less digits than its factorization.

4756127328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16141 (or 16127 counting only the distinct ones).

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

The square root of 4756127328 is about 68964.6817436287. The cubic root of 4756127328 is about 1681.7101972475.

The spelling of 4756127328 in words is "four billion, seven hundred fifty-six million, one hundred twenty-seven thousand, three hundred twenty-eight".