28575648 has 72 divisors (see below), whose sum is σ = 81778788. Its totient is φ = 9464832.

The previous prime is 28575641. The next prime is 28575649. The reversal of 28575648 is 84657582.

28575648 is a `hidden beast` number, since 2 + 85 + 7 + 564 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18766224 + 9809424 = 4332^2 + 3132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (28575641) 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, 89986 + ... + 90302.

Almost surely, 2^28575648 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 28575648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40889394).

28575648 is an abundant number, since it is smaller than the sum of its proper divisors (53203140).

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

28575648 is a wasteful number, since it uses less digits than its factorization.

28575648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 635 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 28575648 is about 5345.6195150796. The cubic root of 28575648 is about 305.7257571113.

The spelling of 28575648 in words is "twenty-eight million, five hundred seventy-five thousand, six hundred forty-eight".