5038924800 has 792 divisors, whose sum is σ = 21065693376. Its totient is φ = 1052835840.

The previous prime is 5038924789. The next prime is 5038924819. The reversal of 5038924800 is 84298305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 48921549 + ... + 48921651.

Almost surely, 2^5038924800 is an apocalyptic number.

5038924800 is a gapful number since it is divisible by the number (50) 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 5038924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532846688).

5038924800 is an abundant number, since it is smaller than the sum of its proper divisors (16026768576).

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

5038924800 is a wasteful number, since it uses less digits than its factorization.

5038924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 5038924800 is about 70985.3844111589. The cubic root of 5038924800 is about 1714.4018461009.

The spelling of 5038924800 in words is "five billion, thirty-eight million, nine hundred twenty-four thousand, eight hundred".