289752192 has 96 divisors (see below), whose sum is σ = 842712780. Its totient is φ = 95551488.

The previous prime is 289752191. The next prime is 289752209. The reversal of 289752192 is 291257982.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 289544256 + 207936 = 17016^2 + 456^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (289752191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110448 + ... + 113040.

Almost surely, 2^289752192 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 289752192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421356390).

289752192 is an abundant number, since it is smaller than the sum of its proper divisors (552960588).

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

289752192 is a wasteful number, since it uses less digits than its factorization.

289752192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2695 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 289752192 is about 17022.1089175225. The cubic root of 289752192 is about 661.7220045915.

The spelling of 289752192 in words is "two hundred eighty-nine million, seven hundred fifty-two thousand, one hundred ninety-two".