290528 has 24 divisors (see below), whose sum is σ = 654192. Its totient is φ = 124416.

The previous prime is 290527. The next prime is 290531. The reversal of 290528 is 825092.

290528 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a junction number, because it is equal to n+sod(n) for n = 290497 and 290506.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 290528.

It is not an unprimeable number, because it can be changed into a prime (290527) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425 + ... + 872.

It is an arithmetic number, because the mean of its divisors is an integer number (27258).

2²⁹⁰⁵²⁸ is an apocalyptic number.

290528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

290528 is an abundant number, since it is smaller than the sum of its proper divisors (363664).

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

290528 is a wasteful number, since it uses less digits than its factorization.

290528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 290528 is about 539.0064934674. The cubic root of 290528 is about 66.2312062509.

It can be divided in two parts, 290 and 528, that added together give a palindrome (818).

The spelling of 290528 in words is "two hundred ninety thousand, five hundred twenty-eight".