28361812227840 has 4608 divisors, whose sum is σ = 137348009164800. Its totient is φ = 5374771200000.

The previous prime is 28361812227823. The next prime is 28361812227841. The reversal of 28361812227840 is 4872221816382.

It is a happy number.

28361812227840 is a `hidden beast` number, since 2 + 8 + 3 + 618 + 12 + 2 + 2 + 7 + 8 + 4 + 0 = 666.

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 (28361812227841) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 112995267715 + ... + 112995267965.

It is an arithmetic number, because the mean of its divisors is an integer number (29806425600).

Almost surely, 2^{28361812227840} is an apocalyptic number.

28361812227840 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 28361812227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68674004582400).

28361812227840 is an abundant number, since it is smaller than the sum of its proper divisors (108986196936960).

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

28361812227840 is a wasteful number, since it uses less digits than its factorization.

28361812227840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 28361812227840 in words is "twenty-eight trillion, three hundred sixty-one billion, eight hundred twelve million, two hundred twenty-seven thousand, eight hundred forty".