4831928640 has 784 divisors, whose sum is σ = 21587886720. Its totient is φ = 1000304640.

The previous prime is 4831928639. The next prime is 4831928657. The reversal of 4831928640 is 468291384.

It is a happy number.

4831928640 is a `hidden beast` number, since 483 + 1 + 92 + 86 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 17962426 + ... + 17962694.

Almost surely, 2^4831928640 is an apocalyptic number.

4831928640 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 4831928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10793943360).

4831928640 is an abundant number, since it is smaller than the sum of its proper divisors (16755958080).

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

4831928640 is a wasteful number, since it uses less digits than its factorization.

4831928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 4831928640 is about 69512.0754977148. The cubic root of 4831928640 is about 1690.5972982957.

The spelling of 4831928640 in words is "four billion, eight hundred thirty-one million, nine hundred twenty-eight thousand, six hundred forty".