28440368006400 has 2160 divisors, whose sum is σ = 123267666614400. Its totient is φ = 6467044147200.

The previous prime is 28440368006377. The next prime is 28440368006417. The reversal of 28440368006400 is 460086304482.

28440368006400 is a `hidden beast` number, since 284 + 4 + 0 + 368 + 0 + 0 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 54588038140 + ... + 54588038660.

Almost surely, 2^{28440368006400} is an apocalyptic number.

28440368006400 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 28440368006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61633833307200).

28440368006400 is an abundant number, since it is smaller than the sum of its proper divisors (94827298608000).

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

28440368006400 is an equidigital number, since it uses as much as digits as its factorization.

28440368006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

It can be divided in two parts, 2844036 and 8006400, that added together give a square (10850436 = 3294²).

The spelling of 28440368006400 in words is "twenty-eight trillion, four hundred forty billion, three hundred sixty-eight million, six thousand, four hundred".