289282560 has 160 divisors (see below), whose sum is σ = 1057110912. Its totient is φ = 66109440.

The previous prime is 289282549. The next prime is 289282561. The reversal of 289282560 is 65282982.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (289282561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51070 + ... + 56450.

Almost surely, 2^289282560 is an apocalyptic number.

289282560 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 289282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528555456).

289282560 is an abundant number, since it is smaller than the sum of its proper divisors (767828352).

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

289282560 is an equidigital number, since it uses as much as digits as its factorization.

289282560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5414 (or 5398 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 289282560 is about 17008.3085578784. The cubic root of 289282560 is about 661.3643036716.

The spelling of 289282560 in words is "two hundred eighty-nine million, two hundred eighty-two thousand, five hundred sixty".