289978155792 has 1120 divisors, whose sum is σ = 1031179500288. Its totient is φ = 78041677824.

The previous prime is 289978155791. The next prime is 289978155821. The reversal of 289978155792 is 297551879982.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 289978155792.

It is not an unprimeable number, because it can be changed into a prime (289978155791) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3972303468 + ... + 3972303540.

Almost surely, 2^289978155792 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 289978155792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515589750144).

289978155792 is an abundant number, since it is smaller than the sum of its proper divisors (741201344496).

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

289978155792 is a wasteful number, since it uses less digits than its factorization.

289978155792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 72.

The spelling of 289978155792 in words is "two hundred eighty-nine billion, nine hundred seventy-eight million, one hundred fifty-five thousand, seven hundred ninety-two".