289144128 has 336 divisors, whose sum is σ = 1011448320. Its totient is φ = 71165952.

The previous prime is 289144111. The next prime is 289144139. The reversal of 289144128 is 821441982.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4315551 + ... + 4315617.

Almost surely, 2^289144128 is an apocalyptic number.

289144128 is a gapful number since it is divisible by the number (28) 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 289144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505724160).

289144128 is an abundant number, since it is smaller than the sum of its proper divisors (722304192).

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

289144128 is a wasteful number, since it uses less digits than its factorization.

289144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 111 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 289144128 is about 17004.2385304371. The cubic root of 289144128 is about 661.2587913873.

The spelling of 289144128 in words is "two hundred eighty-nine million, one hundred forty-four thousand, one hundred twenty-eight".