28019341566720 has 540 divisors, whose sum is σ = 116627055796944. Its totient is φ = 6404419768320.

The previous prime is 28019341566719. The next prime is 28019341566721. The reversal of 28019341566720 is 2766514391082.

It is a happy number.

28019341566720 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 9 + 3 + 4 + 1 + 566 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28019341566719) and next prime (28019341566721).

It is a tau number, because it is divible by the number of its divisors (540).

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 (28019341566721) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2322685 + ... + 7837955.

It is a 1-persistent number, because it is pandigital, but 2⋅28019341566720 = 56038683133440 is not.

Almost surely, 2^{28019341566720} is an apocalyptic number.

28019341566720 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 28019341566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58313527898472).

28019341566720 is an abundant number, since it is smaller than the sum of its proper divisors (88607714230224).

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

28019341566720 is an equidigital number, since it uses as much as digits as its factorization.

28019341566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515318 (or 5515288 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28019341566720 in words is "twenty-eight trillion, nineteen billion, three hundred forty-one million, five hundred sixty-six thousand, seven hundred twenty".