28501200 has 480 divisors, whose sum is σ = 129158400. Its totient is φ = 5806080.

The previous prime is 28501181. The next prime is 28501237. The reversal of 28501200 is 210582.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982786 + ... + 982814.

It is an arithmetic number, because the mean of its divisors is an integer number (269080).

Almost surely, 2^28501200 is an apocalyptic number.

28501200 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 28501200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64579200).

28501200 is an abundant number, since it is smaller than the sum of its proper divisors (100657200).

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

28501200 is a wasteful number, since it uses less digits than its factorization.

28501200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 28501200 is about 5338.6515151300. The cubic root of 28501200 is about 305.4600242524.

Adding to 28501200 its reverse (210582), we get a palindrome (28711782).

The spelling of 28501200 in words is "twenty-eight million, five hundred one thousand, two hundred".