289144728 has 112 divisors (see below), whose sum is σ = 832472520. Its totient is φ = 94058496.

The previous prime is 289144727. The next prime is 289144729. The reversal of 289144728 is 827441982.

It is an interprime number because it is at equal distance from previous prime (289144727) and next prime (289144729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289144727) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 250200 + ... + 251352.

Almost surely, 2^289144728 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 289144728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416236260).

289144728 is an abundant number, since it is smaller than the sum of its proper divisors (543327792).

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

289144728 is a wasteful number, since it uses less digits than its factorization.

289144728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1201 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 289144728 is about 17004.2561730880. The cubic root of 289144728 is about 661.2592487775.

The spelling of 289144728 in words is "two hundred eighty-nine million, one hundred forty-four thousand, seven hundred twenty-eight".