809238528 has 228 divisors, whose sum is σ = 2726292400. Its totient is φ = 231211008.

The previous prime is 809238523. The next prime is 809238571. The reversal of 809238528 is 825832908.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

809238528 is a `hidden beast` number, since 8 + 0 + 92 + 38 + 528 = 666.

It is a super-3 number, since 3×809238528³ (a number of 28 digits) contains 333 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (809238523) 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, 115605501 + ... + 115605507.

Almost surely, 2^809238528 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 809238528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363146200).

809238528 is an abundant number, since it is smaller than the sum of its proper divisors (1917053872).

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

809238528 is an frugal number, since it uses more digits than its factorization.

809238528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 809238528 is about 28447.1180965665. The cubic root of 809238528 is about 931.8775527273.

The spelling of 809238528 in words is "eight hundred nine million, two hundred thirty-eight thousand, five hundred twenty-eight".