28028352460760 has 256 divisors, whose sum is σ = 69199087104000. Its totient is φ = 10187109918720.

The previous prime is 28028352460721. The next prime is 28028352460769. The reversal of 28028352460760 is 6706425382082.

It is a Cunningham number, because it is equal to 5294181²-1.

It is a super-2 number, since 2×28028352460760² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28028352460769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3282388571 + ... + 3282397109.

It is an arithmetic number, because the mean of its divisors is an integer number (270308934000).

Almost surely, 2^{28028352460760} is an apocalyptic number.

28028352460760 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 28028352460760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34599543552000).

28028352460760 is an abundant number, since it is smaller than the sum of its proper divisors (41170734643240).

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

28028352460760 is a wasteful number, since it uses less digits than its factorization.

28028352460760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 53.

The spelling of 28028352460760 in words is "twenty-eight trillion, twenty-eight billion, three hundred fifty-two million, four hundred sixty thousand, seven hundred sixty".