28582528 has 64 divisors (see below), whose sum is σ = 62332200. Its totient is φ = 12976128.

The previous prime is 28582513. The next prime is 28582531. The reversal of 28582528 is 82528582.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 17239104 = 3368^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is an upside-down number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148000 + ... + 148192.

Almost surely, 2^28582528 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 28582528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31166100).

28582528 is an abundant number, since it is smaller than the sum of its proper divisors (33749672).

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

28582528 is a wasteful number, since it uses less digits than its factorization.

28582528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 297 counting only the distinct ones).

The product of its digits is 102400, while the sum is 40.

The square root of 28582528 is about 5346.2629939052. The cubic root of 28582528 is about 305.7502911064.

The spelling of 28582528 in words is "twenty-eight million, five hundred eighty-two thousand, five hundred twenty-eight".