58233093282 has 192 divisors, whose sum is σ = 161876891904. Its totient is φ = 14719034880.

The previous prime is 58233093251. The next prime is 58233093313. The reversal of 58233093282 is 28239033285.

58233093282 is a `hidden beast` number, since 58 + 233 + 0 + 93 + 282 = 666.

It is an interprime number because it is at equal distance from previous prime (58233093251) and next prime (58233093313).

It is a super-2 number, since 2×58233093282² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4053432 + ... + 4067772.

It is an arithmetic number, because the mean of its divisors is an integer number (843108812).

Almost surely, 2^58233093282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58233093282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80938445952).

58233093282 is an abundant number, since it is smaller than the sum of its proper divisors (103643798622).

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

58233093282 is a wasteful number, since it uses less digits than its factorization.

58233093282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14473 (or 14470 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 58233093282 in words is "fifty-eight billion, two hundred thirty-three million, ninety-three thousand, two hundred eighty-two".