58428549120 has 192 divisors, whose sum is σ = 188303693760. Its totient is φ = 15466102784.

The previous prime is 58428549071. The next prime is 58428549121. The reversal of 58428549120 is 2194582485.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58428549120.

It is not an unprimeable number, because it can be changed into a prime (58428549121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4201699 + ... + 4215581.

It is an arithmetic number, because the mean of its divisors is an integer number (980748405).

Almost surely, 2^58428549120 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 58428549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94151846880).

58428549120 is an abundant number, since it is smaller than the sum of its proper divisors (129875144640).

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

58428549120 is a wasteful number, since it uses less digits than its factorization.

58428549120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14050 (or 14030 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 58428549120 in words is "fifty-eight billion, four hundred twenty-eight million, five hundred forty-nine thousand, one hundred twenty".