28200007440 has 800 divisors, whose sum is σ = 113248751616. Its totient is φ = 6436869120.

The previous prime is 28200007427. The next prime is 28200007531. The reversal of 28200007440 is 4470000282.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 159 ways as a sum of consecutive naturals, for example, 168862237 + ... + 168862403.

Almost surely, 2^28200007440 is an apocalyptic number.

28200007440 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 28200007440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56624375808).

28200007440 is an abundant number, since it is smaller than the sum of its proper divisors (85048744176).

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

28200007440 is a wasteful number, since it uses less digits than its factorization.

28200007440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 28200007440 in words is "twenty-eight billion, two hundred million, seven thousand, four hundred forty".