289394879952 has 80 divisors (see below), whose sum is σ = 758533305920. Its totient is φ = 95057058816.

The previous prime is 289394879947. The next prime is 289394879957. The reversal of 289394879952 is 259978493982.

It is an interprime number because it is at equal distance from previous prime (289394879947) and next prime (289394879957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289394879957) 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, 3876999 + ... + 3950937.

It is an arithmetic number, because the mean of its divisors is an integer number (9481666324).

Almost surely, 2^289394879952 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 289394879952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379266652960).

289394879952 is an abundant number, since it is smaller than the sum of its proper divisors (469138425968).

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

289394879952 is a wasteful number, since it uses less digits than its factorization.

289394879952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75140 (or 75134 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 75.

The spelling of 289394879952 in words is "two hundred eighty-nine billion, three hundred ninety-four million, eight hundred seventy-nine thousand, nine hundred fifty-two".