58763628 has 288 divisors, whose sum is σ = 207567360. Its totient is φ = 13547520.

The previous prime is 58763603. The next prime is 58763629. The reversal of 58763628 is 82636785.

58763628 is a `hidden beast` number, since 5 + 8 + 7 + 636 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (483840) is a multiple of the sum of its prime divisors (112).

It is not an unprimeable number, because it can be changed into a prime (58763629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1366575 + ... + 1366617.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^58763628 is an apocalyptic number.

58763628 is a gapful number since it is divisible by the number (58) 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 58763628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103783680).

58763628 is an abundant number, since it is smaller than the sum of its proper divisors (148803732).

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

58763628 is a wasteful number, since it uses less digits than its factorization.

58763628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 112 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 58763628 is about 7665.7437995279. The cubic root of 58763628 is about 388.7790613883.

The spelling of 58763628 in words is "fifty-eight million, seven hundred sixty-three thousand, six hundred twenty-eight".