28579600 has 120 divisors (see below), whose sum is σ = 80262720. Its totient is φ = 9576960.

The previous prime is 28579597. The next prime is 28579627. The reversal of 28579600 is 697582.

It is a self number, because there is not a number n which added to its sum of digits gives 28579600.

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, 165114 + ... + 165286.

It is an arithmetic number, because the mean of its divisors is an integer number (668856).

Almost surely, 2^28579600 is an apocalyptic number.

28579600 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 28579600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40131360).

28579600 is an abundant number, since it is smaller than the sum of its proper divisors (51683120).

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

28579600 is a wasteful number, since it uses less digits than its factorization.

28579600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 28579600 is about 5345.9891507559. The cubic root of 28579600 is about 305.7398503758.

The spelling of 28579600 in words is "twenty-eight million, five hundred seventy-nine thousand, six hundred".