58728000241 has 8 divisors (see below), whose sum is σ = 58858404704. Its totient is φ = 58597680960.

The previous prime is 58728000229. The next prime is 58728000257. The reversal of 58728000241 is 14200082785.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 3-Lehmer number, since φ(58728000241) divides (58728000241-1)³.

It is a cyclic number.

It is a Carmichael number.

It is a de Polignac number, because none of the positive numbers 2^k-58728000241 is a prime.

It is a deceptive number, since it divides R_58728000240.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 58728000241.

It is not an unprimeable number, because it can be changed into a prime (58728000941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1474201 + ... + 1513513.

It is an arithmetic number, because the mean of its divisors is an integer number (7357300588).

It is a Poulet number, since it divides 2^58728000240-1.

Almost surely, 2^58728000241 is an apocalyptic number.

It is an amenable number.

58728000241 is a deficient number, since it is larger than the sum of its proper divisors (130404463).

58728000241 is a wasteful number, since it uses less digits than its factorization.

58728000241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42591.

The product of its (nonzero) digits is 35840, while the sum is 37.

The spelling of 58728000241 in words is "fifty-eight billion, seven hundred twenty-eight million, two hundred forty-one", and thus it is an aban number.