28022400 has 288 divisors, whose sum is σ = 115096800. Its totient is φ = 6359040.

The previous prime is 28022389. The next prime is 28022411. The reversal of 28022400 is 422082.

It is an interprime number because it is at equal distance from previous prime (28022389) and next prime (28022411).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 201531 + ... + 201669.

Almost surely, 2^28022400 is an apocalyptic number.

28022400 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 28022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57548400).

28022400 is an abundant number, since it is smaller than the sum of its proper divisors (87074400).

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

28022400 is a wasteful number, since it uses less digits than its factorization.

28022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 28022400 is about 5293.6188000271. The cubic root of 28022400 is about 303.7398513096.

Adding to 28022400 its reverse (422082), we get a palindrome (28444482).

The spelling of 28022400 in words is "twenty-eight million, twenty-two thousand, four hundred".