4728582144 has 624 divisors, whose sum is σ = 17267938560. Its totient is φ = 1265172480.

The previous prime is 4728582107. The next prime is 4728582149. The reversal of 4728582144 is 4412858274.

4728582144 is a `hidden beast` number, since 4 + 7 + 28 + 582 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a self number, because there is not a number n which added to its sum of digits gives 4728582144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4728582149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205590517 + ... + 205590539.

Almost surely, 2^4728582144 is an apocalyptic number.

4728582144 is a gapful number since it is divisible by the number (44) 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 4728582144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8633969280).

4728582144 is an abundant number, since it is smaller than the sum of its proper divisors (12539356416).

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

4728582144 is a wasteful number, since it uses less digits than its factorization.

4728582144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 52 counting only the distinct ones).

The product of its digits is 573440, while the sum is 45.

The square root of 4728582144 is about 68764.6867512679. The cubic root of 4728582144 is about 1678.4573594319.

The spelling of 4728582144 in words is "four billion, seven hundred twenty-eight million, five hundred eighty-two thousand, one hundred forty-four".