28803600 has 300 divisors, whose sum is σ = 119071744. Its totient is φ = 6531840.

The previous prime is 28803589. The next prime is 28803611. The reversal of 28803600 is 630882.

It is an interprime number because it is at equal distance from previous prime (28803589) and next prime (28803611).

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 226737 + ... + 226863.

Almost surely, 2^28803600 is an apocalyptic number.

28803600 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 28803600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59535872).

28803600 is an abundant number, since it is smaller than the sum of its proper divisors (90268144).

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

28803600 is a wasteful number, since it uses less digits than its factorization.

28803600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 28803600 is about 5366.8985457152. The cubic root of 28803600 is about 306.5365442492.

It can be divided in two parts, 28803 and 600, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 28803600 in words is "twenty-eight million, eight hundred three thousand, six hundred".