28621200 has 240 divisors, whose sum is σ = 102957696. Its totient is φ = 6758400.

The previous prime is 28621199. The next prime is 28621211. The reversal of 28621200 is 212682.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 469170 + ... + 469230.

Almost surely, 2^28621200 is an apocalyptic number.

28621200 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 28621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51478848).

28621200 is an abundant number, since it is smaller than the sum of its proper divisors (74336496).

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

28621200 is a wasteful number, since it uses less digits than its factorization.

28621200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 28621200 is about 5349.8785032933. The cubic root of 28621200 is about 305.8881217731. Note that the first 3 decimals are identical.

Adding to 28621200 its reverse (212682), we get a palindrome (28833882).

The spelling of 28621200 in words is "twenty-eight million, six hundred twenty-one thousand, two hundred".