28400268000 has 384 divisors, whose sum is σ = 106099943040. Its totient is φ = 6578995200.

The previous prime is 28400267969. The next prime is 28400268037. The reversal of 28400268000 is 86200482.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2646646 + ... + 2657354.

It is an arithmetic number, because the mean of its divisors is an integer number (276301935).

Almost surely, 2^28400268000 is an apocalyptic number.

28400268000 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 28400268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53049971520).

28400268000 is an abundant number, since it is smaller than the sum of its proper divisors (77699675040).

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

28400268000 is a wasteful number, since it uses less digits than its factorization.

28400268000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10767 (or 10749 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 28400268000 its reverse (86200482), we get a palindrome (28486468482).

The spelling of 28400268000 in words is "twenty-eight billion, four hundred million, two hundred sixty-eight thousand".