4353728400 has 720 divisors, whose sum is σ = 19018574400. Its totient is φ = 940584960.

The previous prime is 4353728389. The next prime is 4353728411. The reversal of 4353728400 is 48273534.

It is a happy number.

4353728400 is a `hidden beast` number, since 43 + 537 + 2 + 84 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4353728389) and next prime (4353728411).

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 (36).

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, 10054584 + ... + 10055016.

Almost surely, 2^4353728400 is an apocalyptic number.

4353728400 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 4353728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509287200).

4353728400 is an abundant number, since it is smaller than the sum of its proper divisors (14664846000).

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

4353728400 is a wasteful number, since it uses less digits than its factorization.

4353728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4353728400 is about 65982.7886649238. The cubic root of 4353728400 is about 1632.8781498035.

The spelling of 4353728400 in words is "four billion, three hundred fifty-three million, seven hundred twenty-eight thousand, four hundred".