28400341200 has 720 divisors, whose sum is σ = 121578647040. Its totient is φ = 5588352000.

The previous prime is 28400341199. The next prime is 28400341217. The reversal of 28400341200 is 214300482.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12288045 + ... + 12290355.

It is an arithmetic number, because the mean of its divisors is an integer number (168859232).

Almost surely, 2^28400341200 is an apocalyptic number.

28400341200 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 28400341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60789323520).

28400341200 is an abundant number, since it is smaller than the sum of its proper divisors (93178305840).

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

28400341200 is a wasteful number, since it uses less digits than its factorization.

28400341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2358 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 28400341200 its reverse (214300482), we get a palindrome (28614641682).

The spelling of 28400341200 in words is "twenty-eight billion, four hundred million, three hundred forty-one thousand, two hundred".