289532928 has 66 divisors (see below), whose sum is σ = 774232716. Its totient is φ = 96196608.

The previous prime is 289532909. The next prime is 289532951. The reversal of 289532928 is 829235982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 942951 + ... + 943257.

Almost surely, 2^289532928 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 289532928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387116358).

289532928 is an abundant number, since it is smaller than the sum of its proper divisors (484699788).

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

289532928 is an frugal number, since it uses more digits than its factorization.

289532928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 312 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 289532928 is about 17015.6671335567. The cubic root of 289532928 is about 661.5550476406. Note that the first 3 decimals are identical.

Multiplying 289532928 by its sum of digits (48), we get a square (13897580544 = 117888²).

289532928 divided by its sum of digits (48) gives a square (6031936 = 2456²).

The spelling of 289532928 in words is "two hundred eighty-nine million, five hundred thirty-two thousand, nine hundred twenty-eight".