282172800 has 768 divisors, whose sum is σ = 1274918400. Its totient is φ = 53084160.

The previous prime is 282172799. The next prime is 282172801. The reversal of 282172800 is 8271282.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (282172799) and next prime (282172801).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282172801) 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 95 ways as a sum of consecutive naturals, for example, 14851191 + ... + 14851209.

It is an arithmetic number, because the mean of its divisors is an integer number (1660050).

Almost surely, 2^282172800 is an apocalyptic number.

282172800 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 282172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637459200).

282172800 is an abundant number, since it is smaller than the sum of its proper divisors (992745600).

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

282172800 is a wasteful number, since it uses less digits than its factorization.

282172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 282172800 is about 16797.9998809382. Note that the first 3 decimals coincide. The cubic root of 282172800 is about 655.9011352100.

The spelling of 282172800 in words is "two hundred eighty-two million, one hundred seventy-two thousand, eight hundred".