28382098800 has 180 divisors, whose sum is σ = 99934428440. Its totient is φ = 6880473600.

The previous prime is 28382098799. The next prime is 28382098813. The reversal of 28382098800 is 889028382.

It is a super-2 number, since 2×28382098800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28382098800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47466 + ... + 242934.

Almost surely, 2^28382098800 is an apocalyptic number.

28382098800 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 28382098800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49967214220).

28382098800 is an abundant number, since it is smaller than the sum of its proper divisors (71552329640).

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

28382098800 is a wasteful number, since it uses less digits than its factorization.

28382098800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195512 (or 195490 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The spelling of 28382098800 in words is "twenty-eight billion, three hundred eighty-two million, ninety-eight thousand, eight hundred".