28588003800 has 192 divisors, whose sum is σ = 91997683200. Its totient is φ = 7338508800.

The previous prime is 28588003781. The next prime is 28588003813. The reversal of 28588003800 is 830088582.

It is a super-3 number, since 3×28588003800³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1711891 + ... + 1728509.

It is an arithmetic number, because the mean of its divisors is an integer number (479154600).

Almost surely, 2^28588003800 is an apocalyptic number.

28588003800 is a gapful number since it is divisible by the number (20) 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 28588003800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45998841600).

28588003800 is an abundant number, since it is smaller than the sum of its proper divisors (63409679400).

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

28588003800 is a wasteful number, since it uses less digits than its factorization.

28588003800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16746 (or 16737 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The spelling of 28588003800 in words is "twenty-eight billion, five hundred eighty-eight million, three thousand, eight hundred".