230428759743000 has 1536 divisors, whose sum is σ = 1015242099056640. Its totient is φ = 47583297331200.

The previous prime is 230428759742999. The next prime is 230428759743041. The reversal of 230428759743000 is 347957824032.

It is a happy number.

230428759743000 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 2 + 8 + 7 + 597 + 43 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1039200144 + ... + 1039421856.

It is an arithmetic number, because the mean of its divisors is an integer number (660964908240).

Almost surely, 2^{230428759743000} is an apocalyptic number.

230428759743000 is a gapful number since it is divisible by the number (20) 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 230428759743000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507621049528320).

230428759743000 is an abundant number, since it is smaller than the sum of its proper divisors (784813339313640).

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

230428759743000 is a wasteful number, since it uses less digits than its factorization.

230428759743000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221816 (or 221790 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 230428759743000 in words is "two hundred thirty trillion, four hundred twenty-eight billion, seven hundred fifty-nine million, seven hundred forty-three thousand".