28585424 has 90 divisors (see below), whose sum is σ = 68669154. Its totient is φ = 11491200.

The previous prime is 28585421. The next prime is 28585433. The reversal of 28585424 is 42458582.

It can be written as a sum of positive squares in only one way, i.e., 28302400 + 283024 = 5320^2 + 532^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28585421) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 282974 + ... + 283074.

Almost surely, 2^28585424 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 28585424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34334577).

28585424 is an abundant number, since it is smaller than the sum of its proper divisors (40083730).

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

28585424 is a wasteful number, since it uses less digits than its factorization.

28585424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

The square root of 28585424 is about 5346.5338304363. The cubic root of 28585424 is about 305.7606170293.

The spelling of 28585424 in words is "twenty-eight million, five hundred eighty-five thousand, four hundred twenty-four".