28422835200 has 462 divisors, whose sum is σ = 105702355524. Its totient is φ = 7574446080.

The previous prime is 28422835193. The next prime is 28422835201. The reversal of 28422835200 is 253822482.

28422835200 is a `hidden beast` number, since 2 + 84 + 228 + 352 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28422835201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18661639 + ... + 18663161.

Almost surely, 2^28422835200 is an apocalyptic number.

28422835200 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 28422835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52851177762).

28422835200 is an abundant number, since it is smaller than the sum of its proper divisors (77279520324).

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

28422835200 is an equidigital number, since it uses as much as digits as its factorization.

28422835200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1571 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 28422835200 in words is "twenty-eight billion, four hundred twenty-two million, eight hundred thirty-five thousand, two hundred".