289888003008 has 112 divisors (see below), whose sum is σ = 852955733760. Its totient is φ = 96545578752.

The previous prime is 289888003003. The next prime is 289888003019. The reversal of 289888003008 is 800300888982.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289888003003) 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, 1937541 + ... + 2081787.

Almost surely, 2^289888003008 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 289888003008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426477866880).

289888003008 is an abundant number, since it is smaller than the sum of its proper divisors (563067730752).

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

289888003008 is a wasteful number, since it uses less digits than its factorization.

289888003008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145431 (or 145415 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 289888003008 in words is "two hundred eighty-nine billion, eight hundred eighty-eight million, three thousand, eight".