28118465760 has 576 divisors, whose sum is σ = 113109260544. Its totient is φ = 5806080000.

The previous prime is 28118465737. The next prime is 28118465789. The reversal of 28118465760 is 6756481182.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64938504 + ... + 64938936.

It is an arithmetic number, because the mean of its divisors is an integer number (196370244).

Almost surely, 2^28118465760 is an apocalyptic number.

28118465760 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 28118465760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56554630272).

28118465760 is an abundant number, since it is smaller than the sum of its proper divisors (84990794784).

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

28118465760 is a wasteful number, since it uses less digits than its factorization.

28118465760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 28118465760 in words is "twenty-eight billion, one hundred eighteen million, four hundred sixty-five thousand, seven hundred sixty".