58628344320 has 1200 divisors, whose sum is σ = 260954369280. Its totient is φ = 12318179328.

The previous prime is 58628344283. The next prime is 58628344321. The reversal of 58628344320 is 2344382685.

58628344320 is a `hidden beast` number, since 5 + 8 + 6 + 283 + 44 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58628344321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245306761 + ... + 245306999.

Almost surely, 2^58628344320 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 58628344320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130477184640).

58628344320 is an abundant number, since it is smaller than the sum of its proper divisors (202326024960).

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

58628344320 is a wasteful number, since it uses less digits than its factorization.

58628344320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 58628344320 in words is "fifty-eight billion, six hundred twenty-eight million, three hundred forty-four thousand, three hundred twenty".