4993417728 has 120 divisors (see below), whose sum is σ = 15520092588. Its totient is φ = 1536417792.

The previous prime is 4993417703. The next prime is 4993417733. The reversal of 4993417728 is 8277143994.

It can be written as a sum of positive squares in 2 ways, for example, as 4917936384 + 75481344 = 70128^2 + 8688^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18226 + ... + 101582.

Almost surely, 2^4993417728 is an apocalyptic number.

4993417728 is a gapful number since it is divisible by the number (48) 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 4993417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7760046294).

4993417728 is an abundant number, since it is smaller than the sum of its proper divisors (10526674860).

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

4993417728 is a wasteful number, since it uses less digits than its factorization.

4993417728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83394 (or 83375 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 4993417728 is about 70664.1190987336. The cubic root of 4993417728 is about 1709.2252487074.

The spelling of 4993417728 in words is "four billion, nine hundred ninety-three million, four hundred seventeen thousand, seven hundred twenty-eight".