58241428704 has 120 divisors (see below), whose sum is σ = 172148684400. Its totient is φ = 19316081664.

The previous prime is 58241428703. The next prime is 58241428711. The reversal of 58241428704 is 40782414285.

58241428704 is a `hidden beast` number, since 582 + 41 + 4 + 28 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 58241428704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58241428703) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 459352 + ... + 572264.

It is an arithmetic number, because the mean of its divisors is an integer number (1434572370).

Almost surely, 2^58241428704 is an apocalyptic number.

58241428704 is a gapful number since it is divisible by the number (54) 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 58241428704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86074342200).

58241428704 is an abundant number, since it is smaller than the sum of its proper divisors (113907255696).

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

58241428704 is a wasteful number, since it uses less digits than its factorization.

58241428704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113134 (or 113117 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 58241428704 in words is "fifty-eight billion, two hundred forty-one million, four hundred twenty-eight thousand, seven hundred four".