5087728800 has 1728 divisors, whose sum is σ = 25648358400. Its totient is φ = 958003200.

The previous prime is 5087728787. The next prime is 5087728879. The reversal of 5087728800 is 88277805.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 221205589 + ... + 221205611.

It is an arithmetic number, because the mean of its divisors is an integer number (14842800).

Almost surely, 2^5087728800 is an apocalyptic number.

5087728800 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 5087728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12824179200).

5087728800 is an abundant number, since it is smaller than the sum of its proper divisors (20560629600).

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

5087728800 is a wasteful number, since it uses less digits than its factorization.

5087728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 5087728800 is about 71328.3169575730. The cubic root of 5087728800 is about 1719.9189613883.

The spelling of 5087728800 in words is "five billion, eighty-seven million, seven hundred twenty-eight thousand, eight hundred".