28613600 has 72 divisors (see below), whose sum is σ = 71432928. Its totient is φ = 11187200.

The previous prime is 28613597. The next prime is 28613621. The reversal of 28613600 is 631682.

It is a self number, because there is not a number n which added to its sum of digits gives 28613600.

It is a congruent number.

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, 37220 + ... + 37980.

It is an arithmetic number, because the mean of its divisors is an integer number (992124).

Almost surely, 2^28613600 is an apocalyptic number.

28613600 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 28613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35716464).

28613600 is an abundant number, since it is smaller than the sum of its proper divisors (42819328).

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

28613600 is a wasteful number, since it uses less digits than its factorization.

28613600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 28613600 is about 5349.1681596301. The cubic root of 28613600 is about 305.8610444606.

The spelling of 28613600 in words is "twenty-eight million, six hundred thirteen thousand, six hundred".