28002800 has 120 divisors (see below), whose sum is σ = 78509856. Its totient is φ = 9400320.

The previous prime is 28002797. The next prime is 28002803. The reversal of 28002800 is 820082.

It is an interprime number because it is at equal distance from previous prime (28002797) and next prime (28002803).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28002803) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 204332 + ... + 204468.

Almost surely, 2^28002800 is an apocalyptic number.

28002800 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 28002800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39254928).

28002800 is an abundant number, since it is smaller than the sum of its proper divisors (50507056).

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

28002800 is a wasteful number, since it uses less digits than its factorization.

28002800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 28002800 is about 5291.7671906462. The cubic root of 28002800 is about 303.6690188134.

Adding to 28002800 its reverse (820082), we get a palindrome (28822882).

The spelling of 28002800 in words is "twenty-eight million, two thousand, eight hundred".