4728441600 has 324 divisors, whose sum is σ = 17090791536. Its totient is φ = 1247109120.

The previous prime is 4728441583. The next prime is 4728441611. The reversal of 4728441600 is 61448274.

4728441600 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 4 + 41 + 600 = 666.

It is a super-2 number, since 2×4728441600² = 44716319929221120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5932402 + ... + 5933198.

Almost surely, 2^4728441600 is an apocalyptic number.

4728441600 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 4728441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8545395768).

4728441600 is an abundant number, since it is smaller than the sum of its proper divisors (12362349936).

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

4728441600 is a wasteful number, since it uses less digits than its factorization.

4728441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4728441600 is about 68763.6648238007. The cubic root of 4728441600 is about 1678.4407301026.

Adding to 4728441600 its reverse (61448274), we get a palindrome (4789889874).

The spelling of 4728441600 in words is "four billion, seven hundred twenty-eight million, four hundred forty-one thousand, six hundred".