58027284 has 72 divisors (see below), whose sum is σ = 168342720. Its totient is φ = 16509312.

The previous prime is 58027283. The next prime is 58027297. The reversal of 58027284 is 48272085.

It is a happy number.

58027284 is a `hidden beast` number, since 580 + 2 + 72 + 8 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58027283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102787 + ... + 103349.

Almost surely, 2^58027284 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 58027284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84171360).

58027284 is an abundant number, since it is smaller than the sum of its proper divisors (110315436).

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

58027284 is a wasteful number, since it uses less digits than its factorization.

58027284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 58027284 is about 7617.5641776095. The cubic root of 58027284 is about 387.1483516731.

It can be divided in two parts, 58027 and 284, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 58027284 in words is "fifty-eight million, twenty-seven thousand, two hundred eighty-four".