4838533920 has 768 divisors, whose sum is σ = 20379340800. Its totient is φ = 1058365440.

The previous prime is 4838533883. The next prime is 4838533937. The reversal of 4838533920 is 293358384.

4838533920 is a `hidden beast` number, since 483 + 85 + 3 + 3 + 92 + 0 = 666.

It is a super-2 number, since 2×4838533920² = 46822820989981132800, which contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 20766124 + ... + 20766356.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^4838533920 is an apocalyptic number.

4838533920 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 4838533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10189670400).

4838533920 is an abundant number, since it is smaller than the sum of its proper divisors (15540806880).

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

4838533920 is a wasteful number, since it uses less digits than its factorization.

4838533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4838533920 is about 69559.5710165035. The cubic root of 4838533920 is about 1691.3673002845.

The spelling of 4838533920 in words is "four billion, eight hundred thirty-eight million, five hundred thirty-three thousand, nine hundred twenty".