282260832 has 96 divisors (see below), whose sum is σ = 852768000. Its totient is φ = 80076288.

The previous prime is 282260821. The next prime is 282260833. The reversal of 282260832 is 238062282.

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

It is a junction number, because it is equal to n+sod(n) for n = 282260793 and 282260802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (282260833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98719 + ... + 101537.

It is an arithmetic number, because the mean of its divisors is an integer number (8883000).

Almost surely, 2^282260832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282260832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426384000).

282260832 is an abundant number, since it is smaller than the sum of its proper divisors (570507168).

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

282260832 is a wasteful number, since it uses less digits than its factorization.

282260832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 282260832 is about 16800.6199885599. The cubic root of 282260832 is about 655.9693372541.

The spelling of 282260832 in words is "two hundred eighty-two million, two hundred sixty thousand, eight hundred thirty-two".