58628747520 has 864 divisors, whose sum is σ = 244887552000. Its totient is φ = 12667207680.

The previous prime is 58628747509. The next prime is 58628747531. The reversal of 58628747520 is 2574782685.

58628747520 is a `hidden beast` number, since 5 + 8 + 628 + 7 + 4 + 7 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58628747509) and next prime (58628747531).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117492231 + ... + 117492729.

Almost surely, 2^58628747520 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 58628747520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122443776000).

58628747520 is an abundant number, since it is smaller than the sum of its proper divisors (186258804480).

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

58628747520 is a wasteful number, since it uses less digits than its factorization.

58628747520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 58628747520 in words is "fifty-eight billion, six hundred twenty-eight million, seven hundred forty-seven thousand, five hundred twenty".