4753585728 has 42 divisors (see below), whose sum is σ = 13625296854. Its totient is φ = 1584528384.

The previous prime is 4753585703. The next prime is 4753585729. The reversal of 4753585728 is 8275853574.

4753585728 is a `hidden beast` number, since 4 + 7 + 53 + 585 + 7 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3857900544 + 895685184 = 62112^2 + 29928^2 .

It is not an unprimeable number, because it can be changed into a prime (4753585729) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4125801 + ... + 4126952.

Almost surely, 2^4753585728 is an apocalyptic number.

4753585728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4753585728 is an abundant number, since it is smaller than the sum of its proper divisors (8871711126).

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

4753585728 is a wasteful number, since it uses less digits than its factorization.

4753585728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8252771 (or 8252758 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The square root of 4753585728 is about 68946.2524579835. The cubic root of 4753585728 is about 1681.4105840027.

The spelling of 4753585728 in words is "four billion, seven hundred fifty-three million, five hundred eighty-five thousand, seven hundred twenty-eight".