58106929728 has 224 divisors, whose sum is σ = 165007503360. Its totient is φ = 18005944320.

The previous prime is 58106929717. The next prime is 58106929789. The reversal of 58106929728 is 82792960185.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39181275 + ... + 39182757.

It is an arithmetic number, because the mean of its divisors is an integer number (736640640).

Almost surely, 2^58106929728 is an apocalyptic number.

58106929728 is a gapful number since it is divisible by the number (58) 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 58106929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82503751680).

58106929728 is an abundant number, since it is smaller than the sum of its proper divisors (106900573632).

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

58106929728 is a wasteful number, since it uses less digits than its factorization.

58106929728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 58106929728 in words is "fifty-eight billion, one hundred six million, nine hundred twenty-nine thousand, seven hundred twenty-eight".