58048320 has 224 divisors, whose sum is σ = 210677760. Its totient is φ = 13404160.

The previous prime is 58048313. The next prime is 58048321. The reversal of 58048320 is 2384085.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58048321) 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, 242761 + ... + 242999.

Almost surely, 2^58048320 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 58048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105338880).

58048320 is an abundant number, since it is smaller than the sum of its proper divisors (152629440).

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

58048320 is a wasteful number, since it uses less digits than its factorization.

58048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 58048320 is about 7618.9448088302. The cubic root of 58048320 is about 387.1951289144.

It can be divided in two parts, 580483 and 20, that added together give a triangular number (580503 = T₁₀₇₇).

The spelling of 58048320 in words is "fifty-eight million, forty-eight thousand, three hundred twenty".