28924800 has 192 divisors, whose sum is σ = 100172160. Its totient is φ = 7321600.

The previous prime is 28924793. The next prime is 28924801. The reversal of 28924800 is 842982.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28924801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220735 + ... + 220865.

It is an arithmetic number, because the mean of its divisors is an integer number (521730).

Almost surely, 2^28924800 is an apocalyptic number.

28924800 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 28924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080).

28924800 is an abundant number, since it is smaller than the sum of its proper divisors (71247360).

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

28924800 is a wasteful number, since it uses less digits than its factorization.

28924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 28924800 is about 5378.1781301850. The cubic root of 28924800 is about 306.9658915163.

The spelling of 28924800 in words is "twenty-eight million, nine hundred twenty-four thousand, eight hundred".