289254632832 has 384 divisors, whose sum is σ = 949640889600. Its totient is φ = 83653447680.

The previous prime is 289254632819. The next prime is 289254632857. The reversal of 289254632832 is 238236452982.

It is a happy number.

289254632832 is a `hidden beast` number, since 2 + 8 + 92 + 546 + 3 + 2 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×289254632832² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 178661719 + ... + 178663337.

It is an arithmetic number, because the mean of its divisors is an integer number (2473023150).

Almost surely, 2^289254632832 is an apocalyptic number.

289254632832 is a gapful number since it is divisible by the number (22) 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 289254632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474820444800).

289254632832 is an abundant number, since it is smaller than the sum of its proper divisors (660386256768).

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

289254632832 is a wasteful number, since it uses less digits than its factorization.

289254632832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2271 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 289254632832 in words is "two hundred eighty-nine billion, two hundred fifty-four million, six hundred thirty-two thousand, eight hundred thirty-two".