28852800 has 84 divisors (see below), whose sum is σ = 94676976. Its totient is φ = 7692800.

The previous prime is 28852763. The next prime is 28852801. The reversal of 28852800 is 825882.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (28852801) 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, 1795 + ... + 7805.

Almost surely, 2^28852800 is an apocalyptic number.

28852800 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 28852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47338488).

28852800 is an abundant number, since it is smaller than the sum of its proper divisors (65824176).

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

28852800 is a wasteful number, since it uses less digits than its factorization.

28852800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6036 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 28852800 is about 5371.4802429126. The cubic root of 28852800 is about 306.7109786840.

The spelling of 28852800 in words is "twenty-eight million, eight hundred fifty-two thousand, eight hundred".