289131948 has 108 divisors (see below), whose sum is σ = 864444672. Its totient is φ = 81224640.

The previous prime is 289131929. The next prime is 289131979. The reversal of 289131948 is 849131982.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106261 + ... + 108947.

Almost surely, 2^289131948 is an apocalyptic number.

289131948 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 289131948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432222336).

289131948 is an abundant number, since it is smaller than the sum of its proper divisors (575312724).

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

289131948 is a wasteful number, since it uses less digits than its factorization.

289131948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2772 (or 2760 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 289131948 is about 17003.8803806661. The cubic root of 289131948 is about 661.2495062311.

The spelling of 289131948 in words is "two hundred eighty-nine million, one hundred thirty-one thousand, nine hundred forty-eight".