4939728192 has 224 divisors, whose sum is σ = 16672803840. Its totient is φ = 1404864000.

The previous prime is 4939728191. The next prime is 4939728223. The reversal of 4939728192 is 2918279394.

4939728192 is a `hidden beast` number, since 49 + 397 + 28 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4939728192² = 48801829221679177728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4939728191) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3035283 + ... + 3036909.

It is an arithmetic number, because the mean of its divisors is an integer number (74432160).

Almost surely, 2^4939728192 is an apocalyptic number.

4939728192 is a gapful number since it is divisible by the number (42) 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 4939728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8336401920).

4939728192 is an abundant number, since it is smaller than the sum of its proper divisors (11733075648).

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

4939728192 is a wasteful number, since it uses less digits than its factorization.

4939728192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1890 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 4939728192 is about 70283.1999271519. The cubic root of 4939728192 is about 1703.0772627652.

The spelling of 4939728192 in words is "four billion, nine hundred thirty-nine million, seven hundred twenty-eight thousand, one hundred ninety-two".