58281769728 has 1152 divisors, whose sum is σ = 227096576000. Its totient is φ = 14631321600.

The previous prime is 58281769723. The next prime is 58281769831. The reversal of 58281769728 is 82796718285.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (58281769723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 955438818 + ... + 955438878.

Almost surely, 2^58281769728 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 58281769728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113548288000).

58281769728 is an abundant number, since it is smaller than the sum of its proper divisors (168814806272).

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

58281769728 is a wasteful number, since it uses less digits than its factorization.

58281769728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 117 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 63.

The spelling of 58281769728 in words is "fifty-eight billion, two hundred eighty-one million, seven hundred sixty-nine thousand, seven hundred twenty-eight".