28385600 has 84 divisors (see below), whose sum is σ = 70913244. Its totient is φ = 11182080.

The previous prime is 28385579. The next prime is 28385627. The reversal of 28385600 is 658382.

It can be written as a sum of positive squares in 6 ways, for example, as 8386816 + 19998784 = 2896^2 + 4472^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180722 + ... + 180878.

Almost surely, 2^28385600 is an apocalyptic number.

28385600 is a gapful number since it is divisible by the number (20) 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 28385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35456622).

28385600 is an abundant number, since it is smaller than the sum of its proper divisors (42527644).

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

28385600 is a wasteful number, since it uses less digits than its factorization.

28385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 28385600 is about 5327.8138105606. The cubic root of 28385600 is about 305.0464857929.

The spelling of 28385600 in words is "twenty-eight million, three hundred eighty-five thousand, six hundred".