289428948 has 72 divisors (see below), whose sum is σ = 756887040. Its totient is φ = 93182400.

The previous prime is 289428947. The next prime is 289428967. The reversal of 289428948 is 849824982.

It is a junction number, because it is equal to n+sod(n) for n = 289428894 and 289428903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289428943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200413 + ... + 201851.

It is an arithmetic number, because the mean of its divisors is an integer number (10512320).

Almost surely, 2^289428948 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 289428948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378443520).

289428948 is an abundant number, since it is smaller than the sum of its proper divisors (467458092).

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

289428948 is a wasteful number, since it uses less digits than its factorization.

289428948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1632 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 289428948 is about 17012.6114397526. The cubic root of 289428948 is about 661.4758433734.

The spelling of 289428948 in words is "two hundred eighty-nine million, four hundred twenty-eight thousand, nine hundred forty-eight".