289827025920 has 528 divisors, whose sum is σ = 1065322207872. Its totient is φ = 72698757120.

The previous prime is 289827025909. The next prime is 289827025921. The reversal of 289827025920 is 29520728982.

289827025920 is a `hidden beast` number, since 28 + 9 + 8 + 27 + 0 + 2 + 592 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289827025921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64647999 + ... + 64652481.

Almost surely, 2^289827025920 is an apocalyptic number.

289827025920 is a gapful number since it is divisible by the number (20) 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 289827025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532661103936).

289827025920 is an abundant number, since it is smaller than the sum of its proper divisors (775495181952).

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

289827025920 is a wasteful number, since it uses less digits than its factorization.

289827025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 289827025920 in words is "two hundred eighty-nine billion, eight hundred twenty-seven million, twenty-five thousand, nine hundred twenty".