5052028800 has 384 divisors, whose sum is σ = 20483688960. Its totient is φ = 1065738240.

The previous prime is 5052028777. The next prime is 5052028843. The reversal of 5052028800 is 88202505.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 870709 + ... + 876491.

It is an arithmetic number, because the mean of its divisors is an integer number (53342940).

Almost surely, 2^5052028800 is an apocalyptic number.

5052028800 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 5052028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241844480).

5052028800 is an abundant number, since it is smaller than the sum of its proper divisors (15431660160).

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

5052028800 is a wasteful number, since it uses less digits than its factorization.

5052028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5813 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5052028800 is about 71077.6251713575. The cubic root of 5052028800 is about 1715.8866916778.

The spelling of 5052028800 in words is "five billion, fifty-two million, twenty-eight thousand, eight hundred".