58328748000 has 672 divisors, whose sum is σ = 218363457312. Its totient is φ = 15303168000.

The previous prime is 58328747987. The next prime is 58328748011. The reversal of 58328748000 is 84782385.

58328748000 is a `hidden beast` number, since 583 + 28 + 7 + 48 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 242027880 + ... + 242028120.

It is an arithmetic number, because the mean of its divisors is an integer number (324945621).

Almost surely, 2^58328748000 is an apocalyptic number.

58328748000 is a gapful number since it is divisible by the number (50) 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 58328748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109181728656).

58328748000 is an abundant number, since it is smaller than the sum of its proper divisors (160034709312).

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

58328748000 is an equidigital number, since it uses as much as digits as its factorization.

58328748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 58328748000 in words is "fifty-eight billion, three hundred twenty-eight million, seven hundred forty-eight thousand".