28369870663680 has 3744 divisors, whose sum is σ = 129507670865664. Its totient is φ = 5688583520256.

The previous prime is 28369870663657. The next prime is 28369870663711. The reversal of 28369870663680 is 8636607896382.

28369870663680 is a `hidden beast` number, since 2 + 83 + 69 + 8 + 70 + 66 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×28369870663680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 28369870663599 and 28369870663608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 292472893392 + ... + 292472893488.

It is an arithmetic number, because the mean of its divisors is an integer number (34590724056).

Almost surely, 2^{28369870663680} is an apocalyptic number.

28369870663680 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 28369870663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64753835432832).

28369870663680 is an abundant number, since it is smaller than the sum of its proper divisors (101137800201984).

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

28369870663680 is a wasteful number, since it uses less digits than its factorization.

28369870663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 28369870663680 in words is "twenty-eight trillion, three hundred sixty-nine billion, eight hundred seventy million, six hundred sixty-three thousand, six hundred eighty".