4728326400 has 540 divisors, whose sum is σ = 19995650752. Its totient is φ = 1079930880.

The previous prime is 4728326363. The next prime is 4728326419. The reversal of 4728326400 is 46238274.

4728326400 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3628149 + ... + 3629451.

Almost surely, 2^4728326400 is an apocalyptic number.

4728326400 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 4728326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997825376).

4728326400 is an abundant number, since it is smaller than the sum of its proper divisors (15267324352).

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

4728326400 is a wasteful number, since it uses less digits than its factorization.

4728326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1348 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4728326400 is about 68762.8271670094. The cubic root of 4728326400 is about 1678.4270992591.

The spelling of 4728326400 in words is "four billion, seven hundred twenty-eight million, three hundred twenty-six thousand, four hundred".