28794600 has 144 divisors (see below), whose sum is σ = 102499020. Its totient is φ = 7219200.

The previous prime is 28794599. The next prime is 28794637. The reversal of 28794600 is 649782.

It can be written as a sum of positive squares in 6 ways, for example, as 16305444 + 12489156 = 4038^2 + 3534^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30130 + ... + 31070.

Almost surely, 2^28794600 is an apocalyptic number.

28794600 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 28794600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51249510).

28794600 is an abundant number, since it is smaller than the sum of its proper divisors (73704420).

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

28794600 is a wasteful number, since it uses less digits than its factorization.

28794600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28794600 is about 5366.0600071188. The cubic root of 28794600 is about 306.5046140241.

The spelling of 28794600 in words is "twenty-eight million, seven hundred ninety-four thousand, six hundred".