4728631600 has 360 divisors, whose sum is σ = 15128969184. Its totient is φ = 1385472000.

The previous prime is 4728631573. The next prime is 4728631613. The reversal of 4728631600 is 61368274.

It is a self number, because there is not a number n which added to its sum of digits gives 4728631600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5759190 + ... + 5760010.

Almost surely, 2^4728631600 is an apocalyptic number.

4728631600 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 4728631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7564484592).

4728631600 is an abundant number, since it is smaller than the sum of its proper divisors (10400337584).

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

4728631600 is a wasteful number, since it uses less digits than its factorization.

4728631600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4728631600 is about 68765.0463535072. The cubic root of 4728631600 is about 1678.4632110449.

Adding to 4728631600 its reverse (61368274), we get a palindrome (4789999874).

The spelling of 4728631600 in words is "four billion, seven hundred twenty-eight million, six hundred thirty-one thousand, six hundred".