280032 has 24 divisors (see below), whose sum is σ = 735336. Its totient is φ = 93312.

The previous prime is 280031. The next prime is 280037. The reversal of 280032 is 230082.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 279993 and 280020.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 280032.

It is not an unprimeable number, because it can be changed into a prime (280031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1363 + ... + 1554.

It is an arithmetic number, because the mean of its divisors is an integer number (30639).

2²⁸⁰⁰³² is an apocalyptic number.

It is an amenable number.

280032 is an abundant number, since it is smaller than the sum of its proper divisors (455304).

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

280032 is a wasteful number, since it uses less digits than its factorization.

280032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2922 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 280032 is about 529.1804985069. The cubic root of 280032 is about 65.4238183498.

Subtracting from 280032 its product of nonzero digits (96), we obtain a 7-th power (279936 = 6⁷).

The spelling of 280032 in words is "two hundred eighty thousand, thirty-two".