4771577328 has 160 divisors (see below), whose sum is σ = 14390745600. Its totient is φ = 1334181888.

The previous prime is 4771577303. The next prime is 4771577339. The reversal of 4771577328 is 8237751774.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6204528 + ... + 6205296.

It is an arithmetic number, because the mean of its divisors is an integer number (89942160).

Almost surely, 2^4771577328 is an apocalyptic number.

4771577328 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 4771577328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195372800).

4771577328 is an abundant number, since it is smaller than the sum of its proper divisors (9619168272).

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

4771577328 is a wasteful number, since it uses less digits than its factorization.

4771577328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1153 counting only the distinct ones).

The product of its digits is 2304960, while the sum is 51.

The square root of 4771577328 is about 69076.6047804899. The cubic root of 4771577328 is about 1683.5292079185.

The spelling of 4771577328 in words is "four billion, seven hundred seventy-one million, five hundred seventy-seven thousand, three hundred twenty-eight".