289874930688 has 880 divisors, whose sum is σ = 1055741068800. Its totient is φ = 79041650688.

The previous prime is 289874930641. The next prime is 289874930689. The reversal of 289874930688 is 886039478982.

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

It is not an unprimeable number, because it can be changed into a prime (289874930689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 654344995 + ... + 654345437.

It is an arithmetic number, because the mean of its divisors is an integer number (1199705760).

Almost surely, 2^289874930688 is an apocalyptic number.

289874930688 is a gapful number since it is divisible by the number (28) 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 289874930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527870534400).

289874930688 is an abundant number, since it is smaller than the sum of its proper divisors (765866138112).

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

289874930688 is an equidigital number, since it uses as much as digits as its factorization.

289874930688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

It can be divided in two parts, 28987 and 4930688, that added together give a triangular number (4959675 = T₃₁₄₉).

The spelling of 289874930688 in words is "two hundred eighty-nine billion, eight hundred seventy-four million, nine hundred thirty thousand, six hundred eighty-eight".