4893728400 has 720 divisors, whose sum is σ = 20148710400. Its totient is φ = 1129075200.

The previous prime is 4893728327. The next prime is 4893728461. The reversal of 4893728400 is 48273984.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24591501 + ... + 24591699.

It is an arithmetic number, because the mean of its divisors is an integer number (27984320).

Almost surely, 2^4893728400 is an apocalyptic number.

4893728400 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 4893728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10074355200).

4893728400 is an abundant number, since it is smaller than the sum of its proper divisors (15254982000).

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

4893728400 is a wasteful number, since it uses less digits than its factorization.

4893728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4893728400 is about 69955.1885137907. The cubic root of 4893728400 is about 1697.7742960622.

The spelling of 4893728400 in words is "four billion, eight hundred ninety-three million, seven hundred twenty-eight thousand, four hundred".