4628382600 has 192 divisors, whose sum is σ = 15716851200. Its totient is φ = 1121505280.

The previous prime is 4628382589. The next prime is 4628382623. The reversal of 4628382600 is 62838264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287977 + ... + 303623.

It is an arithmetic number, because the mean of its divisors is an integer number (81858600).

Almost surely, 2^4628382600 is an apocalyptic number.

4628382600 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 4628382600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858425600).

4628382600 is an abundant number, since it is smaller than the sum of its proper divisors (11088468600).

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

4628382600 is a wasteful number, since it uses less digits than its factorization.

4628382600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15712 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 4628382600 is about 68032.2173679500. The cubic root of 4628382600 is about 1666.5170096732.

The spelling of 4628382600 in words is "four billion, six hundred twenty-eight million, three hundred eighty-two thousand, six hundred".