28072404560400 has 240 divisors, whose sum is σ = 90671779968000. Its totient is φ = 7424075450880.

The previous prime is 28072404560393. The next prime is 28072404560441. The reversal of 28072404560400 is 406540427082.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73120141 + ... + 73503059.

It is an arithmetic number, because the mean of its divisors is an integer number (377799083200).

Almost surely, 2^{28072404560400} is an apocalyptic number.

28072404560400 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 28072404560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45335889984000).

28072404560400 is an abundant number, since it is smaller than the sum of its proper divisors (62599375407600).

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

28072404560400 is a wasteful number, since it uses less digits than its factorization.

28072404560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383446 (or 383435 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

Adding to 28072404560400 its reverse (406540427082), we get a palindrome (28478944987482).

The spelling of 28072404560400 in words is "twenty-eight trillion, seventy-two billion, four hundred four million, five hundred sixty thousand, four hundred".