283525760 has 96 divisors (see below), whose sum is σ = 788552820. Its totient is φ = 97198080.

The previous prime is 283525679. The next prime is 283525763. The reversal of 283525760 is 67525382.

283525760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 261921856 + 21603904 = 16184^2 + 4648^2 .

It is not an unprimeable number, because it can be changed into a prime (283525763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26840 + ... + 35880.

Almost surely, 2^283525760 is an apocalyptic number.

283525760 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 283525760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394276410).

283525760 is an abundant number, since it is smaller than the sum of its proper divisors (505027060).

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

283525760 is an equidigital number, since it uses as much as digits as its factorization.

283525760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9074 (or 9055 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 283525760 is about 16838.2231841724. The cubic root of 283525760 is about 656.9477674552.

The spelling of 283525760 in words is "two hundred eighty-three million, five hundred twenty-five thousand, seven hundred sixty".