28028800 has 96 divisors (see below), whose sum is σ = 73042200. Its totient is φ = 10598400.

The previous prime is 28028753. The next prime is 28028807. The reversal of 28028800 is 882082.

It is a super-2 number, since 2×28028800² = 1571227258880000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28028807) by changing a digit.

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, 60570 + ... + 61030.

Almost surely, 2^28028800 is an apocalyptic number.

28028800 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 28028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36521100).

28028800 is an abundant number, since it is smaller than the sum of its proper divisors (45013400).

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

28028800 is a wasteful number, since it uses less digits than its factorization.

28028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 28028800 is about 5294.2232669203. The cubic root of 28028800 is about 303.7629731344.

The spelling of 28028800 in words is "twenty-eight million, twenty-eight thousand, eight hundred".