28287351400 has 384 divisors, whose sum is σ = 85314539520. Its totient is φ = 8467200000.

The previous prime is 28287351397. The next prime is 28287351413. The reversal of 28287351400 is 415378282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 95 ways as a sum of consecutive naturals, for example, 44829085 + ... + 44829715.

It is an arithmetic number, because the mean of its divisors is an integer number (222173280).

Almost surely, 2^28287351400 is an apocalyptic number.

28287351400 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 28287351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42657269760).

28287351400 is an abundant number, since it is smaller than the sum of its proper divisors (57027188120).

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

28287351400 is a wasteful number, since it uses less digits than its factorization.

28287351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The spelling of 28287351400 in words is "twenty-eight billion, two hundred eighty-seven million, three hundred fifty-one thousand, four hundred".