282125580 has 96 divisors (see below), whose sum is σ = 881895168. Its totient is φ = 66796800.

The previous prime is 282125579. The next prime is 282125581. The reversal of 282125580 is 85521282.

It is an interprime number because it is at equal distance from previous prime (282125579) and next prime (282125581).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (282125581) 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 31 ways as a sum of consecutive naturals, for example, 23410 + ... + 33350.

It is an arithmetic number, because the mean of its divisors is an integer number (9186408).

Almost surely, 2^282125580 is an apocalyptic number.

282125580 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 282125580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440947584).

282125580 is an abundant number, since it is smaller than the sum of its proper divisors (599769588).

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

282125580 is a wasteful number, since it uses less digits than its factorization.

282125580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 282125580 is about 16796.5942976545. The cubic root of 282125580 is about 655.8645460710.

The spelling of 282125580 in words is "two hundred eighty-two million, one hundred twenty-five thousand, five hundred eighty".