28509600 has 144 divisors (see below), whose sum is σ = 106118208. Its totient is φ = 6512640.

The previous prime is 28509571. The next prime is 28509617. The reversal of 28509600 is 690582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15952 + ... + 17648.

It is an arithmetic number, because the mean of its divisors is an integer number (736932).

Almost surely, 2^28509600 is an apocalyptic number.

28509600 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 28509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53059104).

28509600 is an abundant number, since it is smaller than the sum of its proper divisors (77608608).

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

28509600 is a wasteful number, since it uses less digits than its factorization.

28509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 28509600 is about 5339.4381726920. The cubic root of 28509600 is about 305.4900301489.

The spelling of 28509600 in words is "twenty-eight million, five hundred nine thousand, six hundred".