28140871680 has 336 divisors, whose sum is σ = 101821000320. Its totient is φ = 7175798784.

The previous prime is 28140871631. The next prime is 28140871729. The reversal of 28140871680 is 8617804182.

28140871680 is a `hidden beast` number, since 2 + 81 + 408 + 7 + 168 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28140871631) and next prime (28140871729).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8477061 + ... + 8480379.

Almost surely, 2^28140871680 is an apocalyptic number.

28140871680 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 28140871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50910500160).

28140871680 is an abundant number, since it is smaller than the sum of its proper divisors (73680128640).

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

28140871680 is a wasteful number, since it uses less digits than its factorization.

28140871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 28140871680 in words is "twenty-eight billion, one hundred forty million, eight hundred seventy-one thousand, six hundred eighty".