58728000240 has 1200 divisors, whose sum is σ = 259372827648. Its totient is φ = 12052924416.

The previous prime is 58728000229. The next prime is 58728000257. The reversal of 58728000240 is 4200082785.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 58728000195 and 58728000204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 360294399 + ... + 360294561.

Almost surely, 2^58728000240 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 58728000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129686413824).

58728000240 is an abundant number, since it is smaller than the sum of its proper divisors (200644827408).

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

58728000240 is a wasteful number, since it uses less digits than its factorization.

58728000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 58728000240 in words is "fifty-eight billion, seven hundred twenty-eight million, two hundred forty", and thus it is an aban number.