28671754680 has 192 divisors, whose sum is σ = 101721110400. Its totient is φ = 7243344000.

The previous prime is 28671754633. The next prime is 28671754687. The reversal of 28671754680 is 8645717682.

28671754680 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 17 + 546 + 80 = 666.

It is a super-3 number, since 3×28671754680³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28671754687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107055 + ... + 262305.

It is an arithmetic number, because the mean of its divisors is an integer number (529797450).

Almost surely, 2^28671754680 is an apocalyptic number.

28671754680 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 28671754680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50860555200).

28671754680 is an abundant number, since it is smaller than the sum of its proper divisors (73049355720).

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

28671754680 is a wasteful number, since it uses less digits than its factorization.

28671754680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155296 (or 155280 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 28671754680 in words is "twenty-eight billion, six hundred seventy-one million, seven hundred fifty-four thousand, six hundred eighty".