58420824 has 128 divisors (see below), whose sum is σ = 184481280. Its totient is φ = 14976000.

The previous prime is 58420783. The next prime is 58420829. The reversal of 58420824 is 42802485.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58420829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186492 + ... + 186804.

It is an arithmetic number, because the mean of its divisors is an integer number (1441260).

Almost surely, 2^58420824 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 58420824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92240640).

58420824 is an abundant number, since it is smaller than the sum of its proper divisors (126060456).

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

58420824 is a wasteful number, since it uses less digits than its factorization.

58420824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 58420824 is about 7643.3516208532. The cubic root of 58420824 is about 388.0215915997.

The spelling of 58420824 in words is "fifty-eight million, four hundred twenty thousand, eight hundred twenty-four".