28563264 has 84 divisors (see below), whose sum is σ = 86717124. Its totient is φ = 8957952.

The previous prime is 28563253. The next prime is 28563277. The reversal of 28563264 is 46236582.

It can be written as a sum of positive squares in 2 ways, for example, as 26625600 + 1937664 = 5160^2 + 1392^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8334 + ... + 11250.

Almost surely, 2^28563264 is an apocalyptic number.

28563264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43358562).

28563264 is an abundant number, since it is smaller than the sum of its proper divisors (58153860).

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

28563264 is a wasteful number, since it uses less digits than its factorization.

28563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 2939 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 28563264 is about 5344.4610579552. The cubic root of 28563264 is about 305.6815859946.

The spelling of 28563264 in words is "twenty-eight million, five hundred sixty-three thousand, two hundred sixty-four".