305252528 has 80 divisors (see below), whose sum is σ = 697145856. Its totient is φ = 126766080.

The previous prime is 305252513. The next prime is 305252543. The reversal of 305252528 is 825252503.

305252528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (305252513) and next prime (305252543).

It is a junction number, because it is equal to n+sod(n) for n = 305252494 and 305252503.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1160525 + ... + 1160787.

Almost surely, 2^305252528 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 305252528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348572928).

305252528 is an abundant number, since it is smaller than the sum of its proper divisors (391893328).

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

305252528 is a wasteful number, since it uses less digits than its factorization.

305252528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The square root of 305252528 is about 17471.4775562916. The cubic root of 305252528 is about 673.3172739583.

The spelling of 305252528 in words is "three hundred five million, two hundred fifty-two thousand, five hundred twenty-eight".