58002280 has 96 divisors (see below), whose sum is σ = 153838440. Its totient is φ = 19622400.

The previous prime is 58002253. The next prime is 58002281. The reversal of 58002280 is 8220085.

58002280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57365476 + 636804 = 7574^2 + 798^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58002281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197814 + ... + 198106.

Almost surely, 2^58002280 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 58002280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76919220).

58002280 is an abundant number, since it is smaller than the sum of its proper divisors (95836160).

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

58002280 is a wasteful number, since it uses less digits than its factorization.

58002280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 58002280 is about 7615.9227937263. The cubic root of 58002280 is about 387.0927361795.

The spelling of 58002280 in words is "fifty-eight million, two thousand, two hundred eighty".