28282000 has 80 divisors (see below), whose sum is σ = 69638400. Its totient is φ = 11107200.

The previous prime is 28281991. The next prime is 28282021. The reversal of 28282000 is 28282.

It is a tau number, because it is divible by the number of its divisors (80).

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, 157911 + ... + 158089.

It is an arithmetic number, because the mean of its divisors is an integer number (870480).

Almost surely, 2^28282000 is an apocalyptic number.

28282000 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 28282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34819200).

28282000 is an abundant number, since it is smaller than the sum of its proper divisors (41356400).

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

28282000 is a wasteful number, since it uses less digits than its factorization.

28282000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 28282000 is about 5318.0823611524. The cubic root of 28282000 is about 304.6749201468.

28282000 divided by its reverse (28282) gives a cube (1000 = 10³).

The spelling of 28282000 in words is "twenty-eight million, two hundred eighty-two thousand".