230628365487936 has 560 divisors, whose sum is σ = 754575580558800. Its totient is φ = 69623475277824.

The previous prime is 230628365487833. The next prime is 230628365488009. The reversal of 230628365487936 is 639784563826032.

230628365487936 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 2 + 8 + 3 + 6 + 548 + 79 + 3 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 67575896847936 + 163052468640000 = 8220456^2 + 12769200^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 603439110 + ... + 603821178.

It is an arithmetic number, because the mean of its divisors is an integer number (1347456393855).

Almost surely, 2^{230628365487936} is an apocalyptic number.

230628365487936 is a gapful number since it is divisible by the number (26) 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 230628365487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377287790279400).

230628365487936 is an abundant number, since it is smaller than the sum of its proper divisors (523947215070864).

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

230628365487936 is an equidigital number, since it uses as much as digits as its factorization.

230628365487936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382185 (or 382140 counting only the distinct ones).

The product of its (nonzero) digits is 1881169920, while the sum is 72.

The spelling of 230628365487936 in words is "two hundred thirty trillion, six hundred twenty-eight billion, three hundred sixty-five million, four hundred eighty-seven thousand, nine hundred thirty-six".