28284000 has 96 divisors (see below), whose sum is σ = 92697696. Its totient is φ = 7539200.

The previous prime is 28283987. The next prime is 28284023. The reversal of 28284000 is 48282.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10822 + ... + 13178.

It is an arithmetic number, because the mean of its divisors is an integer number (965601).

Almost surely, 2^28284000 is an apocalyptic number.

28284000 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 28284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46348848).

28284000 is an abundant number, since it is smaller than the sum of its proper divisors (64413696).

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

28284000 is a wasteful number, since it uses less digits than its factorization.

28284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28284000 is about 5318.2703955327. The cubic root of 28284000 is about 304.6821018110.

The spelling of 28284000 in words is "twenty-eight million, two hundred eighty-four thousand".