230228526528 has 1344 divisors, whose sum is σ = 960287956992. Its totient is φ = 52717547520.

The previous prime is 230228526487. The next prime is 230228526559. The reversal of 230228526528 is 825625822032.

230228526528 is a `hidden beast` number, since 2 + 3 + 0 + 22 + 85 + 26 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 358053375 + ... + 358054017.

It is an arithmetic number, because the mean of its divisors is an integer number (714499968).

Almost surely, 2^230228526528 is an apocalyptic number.

230228526528 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230228526528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480143978496).

230228526528 is an abundant number, since it is smaller than the sum of its proper divisors (730059430464).

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

230228526528 is a wasteful number, since it uses less digits than its factorization.

230228526528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 230228526528 in words is "two hundred thirty billion, two hundred twenty-eight million, five hundred twenty-six thousand, five hundred twenty-eight".