28112442637440 has 512 divisors, whose sum is σ = 108498159728640. Its totient is φ = 6044124119040.

The previous prime is 28112442637369. The next prime is 28112442637481. The reversal of 28112442637440 is 4473624421182.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28112442637440.

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, 393635335 + ... + 393706745.

It is an arithmetic number, because the mean of its divisors is an integer number (211910468220).

Almost surely, 2^{28112442637440} is an apocalyptic number.

28112442637440 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 28112442637440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54249079864320).

28112442637440 is an abundant number, since it is smaller than the sum of its proper divisors (80385717091200).

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

28112442637440 is a wasteful number, since it uses less digits than its factorization.

28112442637440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73180 (or 73168 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 28112442637440 in words is "twenty-eight trillion, one hundred twelve billion, four hundred forty-two million, six hundred thirty-seven thousand, four hundred forty".