28412467200 has 1440 divisors, whose sum is σ = 123865822080. Its totient is φ = 6370099200.

The previous prime is 28412467189. The next prime is 28412467207. The reversal of 28412467200 is 276421482.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28412467207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 916531185 + ... + 916531215.

It is an arithmetic number, because the mean of its divisors is an integer number (86017932).

Almost surely, 2^28412467200 is an apocalyptic number.

28412467200 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 28412467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61932911040).

28412467200 is an abundant number, since it is smaller than the sum of its proper divisors (95453354880).

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

28412467200 is a wasteful number, since it uses less digits than its factorization.

28412467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 28412467200 its reverse (276421482), we get a palindrome (28688888682).

The spelling of 28412467200 in words is "twenty-eight billion, four hundred twelve million, four hundred sixty-seven thousand, two hundred".