4728884160 has 1344 divisors, whose sum is σ = 22182612480. Its totient is φ = 836075520.

The previous prime is 4728884087. The next prime is 4728884177. The reversal of 4728884160 is 614888274.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 127807662 + ... + 127807698.

It is an arithmetic number, because the mean of its divisors is an integer number (16504920).

Almost surely, 2^4728884160 is an apocalyptic number.

4728884160 is a gapful number since it is divisible by the number (40) 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 4728884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091306240).

4728884160 is an abundant number, since it is smaller than the sum of its proper divisors (17453728320).

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

4728884160 is a wasteful number, since it uses less digits than its factorization.

4728884160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The square root of 4728884160 is about 68766.8827270802. The cubic root of 4728884160 is about 1678.4930932009.

It can be divided in two parts, 4728 and 884160, that added together give a palindrome (888888).

The spelling of 4728884160 in words is "four billion, seven hundred twenty-eight million, eight hundred eighty-four thousand, one hundred sixty".