28200000 has 168 divisors, whose sum is σ = 95243904. Its totient is φ = 7360000.

The previous prime is 28199947. The next prime is 28200013. The reversal of 28200000 is 282.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599977 + ... + 600023.

It is an arithmetic number, because the mean of its divisors is an integer number (566928).

Almost surely, 2^28200000 is an apocalyptic number.

28200000 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 28200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47621952).

28200000 is an abundant number, since it is smaller than the sum of its proper divisors (67043904).

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

28200000 is an frugal number, since it uses more digits than its factorization.

28200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 28200000 is about 5310.3672189407. The cubic root of 28200000 is about 304.3801799382.

Adding to 28200000 its reverse (282), we get a palindrome (28200282).

28200000 divided by its reverse (282) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 28 and 200000, that added together give a triangular number (200028 = T₆₃₂).

The spelling of 28200000 in words is "twenty-eight million, two hundred thousand".