58286144 has 56 divisors (see below), whose sum is σ = 132941568. Its totient is φ = 24837120.

The previous prime is 58286083. The next prime is 58286147. The reversal of 58286144 is 44168285.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 58286098 and 58286107.

It is not an unprimeable number, because it can be changed into a prime (58286147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125657 + ... + 126119.

Almost surely, 2^58286144 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 58286144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66470784).

58286144 is an abundant number, since it is smaller than the sum of its proper divisors (74655424).

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

58286144 is a wasteful number, since it uses less digits than its factorization.

58286144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 753 counting only the distinct ones).

The product of its digits is 61440, while the sum is 38.

The square root of 58286144 is about 7634.5362662050. The cubic root of 58286144 is about 387.7231879712.

The spelling of 58286144 in words is "fifty-eight million, two hundred eighty-six thousand, one hundred forty-four".