28355600 has 240 divisors, whose sum is σ = 90410880. Its totient is φ = 8294400.

The previous prime is 28355599. The next prime is 28355611. The reversal of 28355600 is 655382.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 691580 + ... + 691620.

It is an arithmetic number, because the mean of its divisors is an integer number (376712).

Almost surely, 2^28355600 is an apocalyptic number.

28355600 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 28355600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45205440).

28355600 is an abundant number, since it is smaller than the sum of its proper divisors (62055280).

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

28355600 is a wasteful number, since it uses less digits than its factorization.

28355600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 28355600 is about 5324.9976525816. The cubic root of 28355600 is about 304.9389826877.

The spelling of 28355600 in words is "twenty-eight million, three hundred fifty-five thousand, six hundred".