5028518400 has 240 divisors, whose sum is σ = 17590820544. Its totient is φ = 1261895680.

The previous prime is 5028518381. The next prime is 5028518437. The reversal of 5028518400 is 48158205.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 648949 + ... + 656651.

Almost surely, 2^5028518400 is an apocalyptic number.

5028518400 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 5028518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795410272).

5028518400 is an abundant number, since it is smaller than the sum of its proper divisors (12562302144).

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

5028518400 is a wasteful number, since it uses less digits than its factorization.

5028518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7751 (or 7730 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 5028518400 is about 70912.0469313924. The cubic root of 5028518400 is about 1713.2208370710.

The spelling of 5028518400 in words is "five billion, twenty-eight million, five hundred eighteen thousand, four hundred".