28437227827008 has 448 divisors, whose sum is σ = 102529594288128. Its totient is φ = 6716350586880.

The previous prime is 28437227826989. The next prime is 28437227827031. The reversal of 28437227827008 is 80072872273482.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11772666 + ... + 13981062.

It is an arithmetic number, because the mean of its divisors is an integer number (228860701536).

Almost surely, 2^{28437227827008} is an apocalyptic number.

28437227827008 is a gapful number since it is divisible by the number (28) 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 28437227827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51264797144064).

28437227827008 is an abundant number, since it is smaller than the sum of its proper divisors (74092366461120).

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

28437227827008 is a wasteful number, since it uses less digits than its factorization.

28437227827008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208510 (or 2208500 counting only the distinct ones).

The product of its (nonzero) digits is 33718272, while the sum is 60.

The spelling of 28437227827008 in words is "twenty-eight trillion, four hundred thirty-seven billion, two hundred twenty-seven million, eight hundred twenty-seven thousand, eight".