28380844800 has 1512 divisors, whose sum is σ = 132973155840. Its totient is φ = 5822668800.

The previous prime is 28380844759. The next prime is 28380844801. The reversal of 28380844800 is 844808382.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28380844801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 359251161 + ... + 359251239.

Almost surely, 2^28380844800 is an apocalyptic number.

28380844800 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 28380844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66486577920).

28380844800 is an abundant number, since it is smaller than the sum of its proper divisors (104592311040).

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

28380844800 is an equidigital number, since it uses as much as digits as its factorization.

28380844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 28380844800 in words is "twenty-eight billion, three hundred eighty million, eight hundred forty-four thousand, eight hundred".