28218540240 has 280 divisors, whose sum is σ = 107312069088. Its totient is φ = 6840702720.

The previous prime is 28218540199. The next prime is 28218540241. The reversal of 28218540240 is 4204581282.

28218540240 is a `hidden beast` number, since 2 + 82 + 18 + 540 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28218540195 and 28218540204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28218540241) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 619527 + ... + 663513.

Almost surely, 2^28218540240 is an apocalyptic number.

28218540240 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 28218540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53656034544).

28218540240 is an abundant number, since it is smaller than the sum of its proper divisors (79093528848).

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

28218540240 is a wasteful number, since it uses less digits than its factorization.

28218540240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44029 (or 44008 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 28218540240 in words is "twenty-eight billion, two hundred eighteen million, five hundred forty thousand, two hundred forty".