289029132000 has 1152 divisors, whose sum is σ = 1250476351488. Its totient is φ = 61788672000.

The previous prime is 289029131971. The next prime is 289029132011. The reversal of 289029132000 is 231920982.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 272411470 + ... + 272412530.

It is an arithmetic number, because the mean of its divisors is an integer number (1085482944).

Almost surely, 2^289029132000 is an apocalyptic number.

289029132000 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 289029132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625238175744).

289029132000 is an abundant number, since it is smaller than the sum of its proper divisors (961447219488).

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

289029132000 is a wasteful number, since it uses less digits than its factorization.

289029132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 289029132000 in words is "two hundred eighty-nine billion, twenty-nine million, one hundred thirty-two thousand".