28368600 has 96 divisors (see below), whose sum is σ = 94733520. Its totient is φ = 6981120.

The previous prime is 28368559. The next prime is 28368601. The reversal of 28368600 is 686382.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28368601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5982 + ... + 9618.

Almost surely, 2^28368600 is an apocalyptic number.

28368600 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 28368600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47366760).

28368600 is an abundant number, since it is smaller than the sum of its proper divisors (66364920).

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

28368600 is a wasteful number, since it uses less digits than its factorization.

28368600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28368600 is about 5326.2181705221. The cubic root of 28368600 is about 304.9855766717.

The spelling of 28368600 in words is "twenty-eight million, three hundred sixty-eight thousand, six hundred".