58193820 has 72 divisors (see below), whose sum is σ = 182232960. Its totient is φ = 15016320.

The previous prime is 58193803. The next prime is 58193831. The reversal of 58193820 is 2839185.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 366 + ... + 10794.

Almost surely, 2^58193820 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 58193820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91116480).

58193820 is an abundant number, since it is smaller than the sum of its proper divisors (124039140).

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

58193820 is a wasteful number, since it uses less digits than its factorization.

58193820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10475 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 58193820 is about 7628.4873992162. The cubic root of 58193820 is about 387.5183647210.

The spelling of 58193820 in words is "fifty-eight million, one hundred ninety-three thousand, eight hundred twenty".