58028065920 has 384 divisors, whose sum is σ = 221380473600. Its totient is φ = 13888143360.

The previous prime is 58028065831. The next prime is 58028065937. The reversal of 58028065920 is 2956082085.

58028065920 is a `hidden beast` number, since 58 + 0 + 2 + 8 + 0 + 6 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999644 + ... + 5011236.

It is an arithmetic number, because the mean of its divisors is an integer number (576511650).

Almost surely, 2^58028065920 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 58028065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110690236800).

58028065920 is an abundant number, since it is smaller than the sum of its proper divisors (163352407680).

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

58028065920 is a wasteful number, since it uses less digits than its factorization.

58028065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11708 (or 11693 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 58028065920 in words is "fifty-eight billion, twenty-eight million, sixty-five thousand, nine hundred twenty".