28212063972480 has 1280 divisors, whose sum is σ = 105122664108000. Its totient is φ = 7204582195200.

The previous prime is 28212063972479. The next prime is 28212063972557. The reversal of 28212063972480 is 8427936021282.

28212063972480 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 2 + 0 + 6 + 397 + 248 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 204513781824 + 28007550190656 = 452232^2 + 5292216^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54149834620 + ... + 54149835140.

Almost surely, 2^{28212063972480} is an apocalyptic number.

28212063972480 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 28212063972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52561332054000).

28212063972480 is an abundant number, since it is smaller than the sum of its proper divisors (76910600135520).

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

28212063972480 is a wasteful number, since it uses less digits than its factorization.

28212063972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 28212063972480 in words is "twenty-eight trillion, two hundred twelve billion, sixty-three million, nine hundred seventy-two thousand, four hundred eighty".