4728579840 has 216 divisors, whose sum is σ = 16483674480. Its totient is φ = 1251459072.

The previous prime is 4728579773. The next prime is 4728579857. The reversal of 4728579840 is 489758274.

It is a happy number.

4728579840 is a `hidden beast` number, since 4 + 7 + 28 + 579 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1599804 + ... + 1602756.

Almost surely, 2^4728579840 is an apocalyptic number.

4728579840 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 4728579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241837240).

4728579840 is an abundant number, since it is smaller than the sum of its proper divisors (11755094640).

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

4728579840 is a wasteful number, since it uses less digits than its factorization.

4728579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 4728579840 is about 68764.6699984811. The cubic root of 4728579840 is about 1678.4570868226.

The spelling of 4728579840 in words is "four billion, seven hundred twenty-eight million, five hundred seventy-nine thousand, eight hundred forty".