4943928800 has 72 divisors (see below), whose sum is σ = 12239497872. Its totient is φ = 1949696000.

The previous prime is 4943928791. The next prime is 4943928809. The reversal of 4943928800 is 88293494.

It is an interprime number because it is at equal distance from previous prime (4943928791) and next prime (4943928809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4943928809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13280 + ... + 100320.

It is an arithmetic number, because the mean of its divisors is an integer number (169993026).

Almost surely, 2^4943928800 is an apocalyptic number.

4943928800 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 4943928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6119748936).

4943928800 is an abundant number, since it is smaller than the sum of its proper divisors (7295569072).

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

4943928800 is a wasteful number, since it uses less digits than its factorization.

4943928800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87132 (or 87119 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The square root of 4943928800 is about 70313.0770198546. The cubic root of 4943928800 is about 1703.5598758977.

The spelling of 4943928800 in words is "four billion, nine hundred forty-three million, nine hundred twenty-eight thousand, eight hundred".