28582272 has 96 divisors (see below), whose sum is σ = 84307080. Its totient is φ = 9289728.

The previous prime is 28582259. The next prime is 28582273. The reversal of 28582272 is 27228582.

28582272 is a `hidden beast` number, since 2 + 8 + 582 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

Its product of digits (35840) is a multiple of the sum of its prime factors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28582273) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49248 + ... + 49824.

Almost surely, 2^28582272 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 28582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42153540).

28582272 is an abundant number, since it is smaller than the sum of its proper divisors (55724808).

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

28582272 is a wasteful number, since it uses less digits than its factorization.

28582272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 625 counting only the distinct ones).

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

The square root of 28582272 is about 5346.2390518943. The cubic root of 28582272 is about 305.7493782841.

The spelling of 28582272 in words is "twenty-eight million, five hundred eighty-two thousand, two hundred seventy-two".