4647728400 has 180 divisors, whose sum is σ = 17319172752. Its totient is φ = 1062324480.

The previous prime is 4647728399. The next prime is 4647728419. The reversal of 4647728400 is 48277464.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19279 + ... + 98321.

Almost surely, 2^4647728400 is an apocalyptic number.

4647728400 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 4647728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8659586376).

4647728400 is an abundant number, since it is smaller than the sum of its proper divisors (12671444352).

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

4647728400 is a wasteful number, since it uses less digits than its factorization.

4647728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79078 (or 79060 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 4647728400 is about 68174.2502709051. The cubic root of 4647728400 is about 1668.8356950760.

The spelling of 4647728400 in words is "four billion, six hundred forty-seven million, seven hundred twenty-eight thousand, four hundred".