58282728 has 144 divisors (see below), whose sum is σ = 181599840. Its totient is φ = 15266880.

The previous prime is 58282723. The next prime is 58282729. The reversal of 58282728 is 82728285.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 58282728.

It is not an unprimeable number, because it can be changed into a prime (58282723) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1880073 + ... + 1880103.

It is an arithmetic number, because the mean of its divisors is an integer number (1261110).

Almost surely, 2^58282728 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 58282728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90799920).

58282728 is an abundant number, since it is smaller than the sum of its proper divisors (123317112).

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

58282728 is a wasteful number, since it uses less digits than its factorization.

58282728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 62 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 58282728 is about 7634.3125427245. The cubic root of 58282728 is about 387.7156133392.

Multiplying 58282728 by its sum of digits (42), we get a square (2447874576 = 49476²).

58282728 divided by its sum of digits (42) gives a square (1387684 = 1178²).

The spelling of 58282728 in words is "fifty-eight million, two hundred eighty-two thousand, seven hundred twenty-eight".