28206319680 has 1008 divisors, whose sum is σ = 126142528512. Its totient is φ = 5656780800.

The previous prime is 28206319633. The next prime is 28206319681. The reversal of 28206319680 is 8691360282.

28206319680 is a `hidden beast` number, since 2 + 8 + 2 + 0 + 631 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28206319681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75619974 + ... + 75620346.

Almost surely, 2^28206319680 is an apocalyptic number.

28206319680 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 28206319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63071264256).

28206319680 is an abundant number, since it is smaller than the sum of its proper divisors (97936208832).

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

28206319680 is a wasteful number, since it uses less digits than its factorization.

28206319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28206319680 in words is "twenty-eight billion, two hundred six million, three hundred nineteen thousand, six hundred eighty".