28533582 has 144 divisors (see below), whose sum is σ = 83549232. Its totient is φ = 6935040.

The previous prime is 28533569. The next prime is 28533613.

28533582 is a `hidden beast` number, since 28 + 53 + 3 + 582 = 666.

28533582 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 164848 + ... + 165020.

It is an arithmetic number, because the mean of its divisors is an integer number (580203).

Almost surely, 2^28533582 is an apocalyptic number.

28533582 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 28533582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41774616).

28533582 is an abundant number, since it is smaller than the sum of its proper divisors (55015650).

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

28533582 is a wasteful number, since it uses less digits than its factorization.

28533582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 213 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 28533582 is about 5341.6834425114. The cubic root of 28533582 is about 305.5756645621.

The spelling of 28533582 in words is "twenty-eight million, five hundred thirty-three thousand, five hundred eighty-two".