28959400 has 48 divisors (see below), whose sum is σ = 69666300. Its totient is φ = 11182080.

The previous prime is 28959397. The next prime is 28959431. The reversal of 28959400 is 495982.

It can be written as a sum of positive squares in 6 ways, for example, as 8655364 + 20304036 = 2942^2 + 4506^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28959400.

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, 3304 + ... + 8296.

Almost surely, 2^28959400 is an apocalyptic number.

28959400 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 28959400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34833150).

28959400 is an abundant number, since it is smaller than the sum of its proper divisors (40706900).

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

28959400 is a wasteful number, since it uses less digits than its factorization.

28959400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5029 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 28959400 is about 5381.3938714798. The cubic root of 28959400 is about 307.0882408231.

The spelling of 28959400 in words is "twenty-eight million, nine hundred fifty-nine thousand, four hundred".