28284400 has 60 divisors (see below), whose sum is σ = 70176064. Its totient is φ = 10944000.

The previous prime is 28284397. The next prime is 28284439. The reversal of 28284400 is 448282.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11260 + ... + 13540.

Almost surely, 2^28284400 is an apocalyptic number.

28284400 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 28284400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35088032).

28284400 is an abundant number, since it is smaller than the sum of its proper divisors (41891664).

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

28284400 is a wasteful number, since it uses less digits than its factorization.

28284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 28284400 is about 5318.3080016110. The cubic root of 28284400 is about 304.6835381032.

The spelling of 28284400 in words is "twenty-eight million, two hundred eighty-four thousand, four hundred".