28782086400 has 756 divisors, whose sum is σ = 110810963200. Its totient is φ = 7390310400.

The previous prime is 28782086383. The next prime is 28782086401. The reversal of 28782086400 is 468028782.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (28782086401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 144633501 + ... + 144633699.

Almost surely, 2^28782086400 is an apocalyptic number.

28782086400 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 28782086400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55405481600).

28782086400 is an abundant number, since it is smaller than the sum of its proper divisors (82028876800).

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

28782086400 is an equidigital number, since it uses as much as digits as its factorization.

28782086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 28782086400 in words is "twenty-eight billion, seven hundred eighty-two million, eighty-six thousand, four hundred".