28211863680 has 1536 divisors, whose sum is σ = 137135980800. Its totient is φ = 5388042240.

The previous prime is 28211863657. The next prime is 28211863697. The reversal of 28211863680 is 8636811282.

28211863680 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 1 + 8 + 636 + 8 + 0 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 121080844 + ... + 121081076.

Almost surely, 2^28211863680 is an apocalyptic number.

28211863680 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 28211863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68567990400).

28211863680 is an abundant number, since it is smaller than the sum of its proper divisors (108924117120).

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

28211863680 is a wasteful number, since it uses less digits than its factorization.

28211863680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28211863680 in words is "twenty-eight billion, two hundred eleven million, eight hundred sixty-three thousand, six hundred eighty".