28008255651840 has 544 divisors, whose sum is σ = 99791042163840. Its totient is φ = 7453355802624.

The previous prime is 28008255651821. The next prime is 28008255651847. The reversal of 28008255651840 is 4815655280082.

28008255651840 is a `hidden beast` number, since 2 + 8 + 0 + 0 + 8 + 2 + 556 + 5 + 1 + 84 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28008255651847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4627166254 + ... + 4627172306.

Almost surely, 2^{28008255651840} is an apocalyptic number.

28008255651840 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 28008255651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49895521081920).

28008255651840 is an abundant number, since it is smaller than the sum of its proper divisors (71782786512000).

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

28008255651840 is an frugal number, since it uses more digits than its factorization.

28008255651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 28008255651840 in words is "twenty-eight trillion, eight billion, two hundred fifty-five million, six hundred fifty-one thousand, eight hundred forty".