28286506430400 has 168 divisors, whose sum is σ = 92814468858880. Its totient is φ = 7542161648640.

The previous prime is 28286506430381. The next prime is 28286506430411. The reversal of 28286506430400 is 403460568282.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28286506430400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40061217 + ... + 40761183.

Almost surely, 2^{28286506430400} is an apocalyptic number.

28286506430400 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 28286506430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46407234429440).

28286506430400 is an abundant number, since it is smaller than the sum of its proper divisors (64527962428480).

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

28286506430400 is a wasteful number, since it uses less digits than its factorization.

28286506430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708411 (or 708396 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

Adding to 28286506430400 its reverse (403460568282), we get a palindrome (28689966998682).

The spelling of 28286506430400 in words is "twenty-eight trillion, two hundred eighty-six billion, five hundred six million, four hundred thirty thousand, four hundred".