58228256268 has 384 divisors, whose sum is σ = 195129446400. Its totient is φ = 14594494464.

The previous prime is 58228256249. The next prime is 58228256279. The reversal of 58228256268 is 86265282285.

58228256268 is a `hidden beast` number, since 5 + 8 + 2 + 2 + 8 + 2 + 5 + 626 + 8 = 666.

58228256268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39104868 + ... + 39106356.

It is an arithmetic number, because the mean of its divisors is an integer number (508149600).

Almost surely, 2^58228256268 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 58228256268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97564723200).

58228256268 is an abundant number, since it is smaller than the sum of its proper divisors (136901190132).

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

58228256268 is a wasteful number, since it uses less digits than its factorization.

58228256268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1718 (or 1710 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The spelling of 58228256268 in words is "fifty-eight billion, two hundred twenty-eight million, two hundred fifty-six thousand, two hundred sixty-eight".