28384300 has 144 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 8870400.

The previous prime is 28384297. The next prime is 28384303. The reversal of 28384300 is 348382.

28384300 = T₂₇₅ + T₂₇₆ + ... + T₅₇₅.

It is an interprime number because it is at equal distance from previous prime (28384297) and next prime (28384303).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (28384303) 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 47 ways as a sum of consecutive naturals, for example, 660079 + ... + 660121.

It is an arithmetic number, because the mean of its divisors is an integer number (534688).

Almost surely, 2^28384300 is an apocalyptic number.

28384300 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 28384300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

28384300 is an abundant number, since it is smaller than the sum of its proper divisors (48610772).

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

28384300 is a wasteful number, since it uses less digits than its factorization.

28384300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 28384300 is about 5327.6918079033. The cubic root of 28384300 is about 305.0418288954.

The spelling of 28384300 in words is "twenty-eight million, three hundred eighty-four thousand, three hundred".