230776128 has 336 divisors, whose sum is σ = 798819840. Its totient is φ = 65318400.

The previous prime is 230776099. The next prime is 230776129. The reversal of 230776128 is 821677032.

230776128 is a `hidden beast` number, since 2 + 30 + 7 + 7 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 230776092 and 230776101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230776129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3250333 + ... + 3250403.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2^230776128 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 230776128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399409920).

230776128 is an abundant number, since it is smaller than the sum of its proper divisors (568043712).

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

230776128 is a wasteful number, since it uses less digits than its factorization.

230776128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 230776128 is about 15191.3175202153. The cubic root of 230776128 is about 613.3809645849.

The spelling of 230776128 in words is "two hundred thirty million, seven hundred seventy-six thousand, one hundred twenty-eight".