289920292344 has 96 divisors (see below), whose sum is σ = 795191061600. Its totient is φ = 95415878400.

The previous prime is 289920292303. The next prime is 289920292391. The reversal of 289920292344 is 443292029982.

289920292344 is a `hidden beast` number, since 2 + 8 + 9 + 9 + 2 + 0 + 292 + 344 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2555122 + ... + 2666174.

It is an arithmetic number, because the mean of its divisors is an integer number (8283240225).

Almost surely, 2^289920292344 is an apocalyptic number.

289920292344 is a gapful number since it is divisible by the number (24) 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 289920292344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397595530800).

289920292344 is an abundant number, since it is smaller than the sum of its proper divisors (505270769256).

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

289920292344 is a wasteful number, since it uses less digits than its factorization.

289920292344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111525 (or 111518 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 289920292344 in words is "two hundred eighty-nine billion, nine hundred twenty million, two hundred ninety-two thousand, three hundred forty-four".