5037828800 has 84 divisors (see below), whose sum is σ = 12430085376. Its totient is φ = 2009625600.

The previous prime is 5037828779. The next prime is 5037828827. The reversal of 5037828800 is 88287305.

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 11 ways as a sum of consecutive naturals, for example, 608690 + ... + 616910.

Almost surely, 2^5037828800 is an apocalyptic number.

5037828800 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 5037828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215042688).

5037828800 is an abundant number, since it is smaller than the sum of its proper divisors (7392256576).

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

5037828800 is a wasteful number, since it uses less digits than its factorization.

5037828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8626 (or 8611 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 5037828800 is about 70977.6640923044. The cubic root of 5037828800 is about 1714.2775391145.

The spelling of 5037828800 in words is "five billion, thirty-seven million, eight hundred twenty-eight thousand, eight hundred".