28212943472640 has 768 divisors, whose sum is σ = 102754145894400. Its totient is φ = 7338922278912.

The previous prime is 28212943472603. The next prime is 28212943472641. The reversal of 28212943472640 is 4627434921282.

28212943472640 is a `hidden beast` number, since 2 + 8 + 2 + 1 + 294 + 347 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 (28212943472641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16965088449 + ... + 16965090111.

It is an arithmetic number, because the mean of its divisors is an integer number (133794460800).

Almost surely, 2^{28212943472640} is an apocalyptic number.

28212943472640 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 28212943472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51377072947200).

28212943472640 is an abundant number, since it is smaller than the sum of its proper divisors (74541202421760).

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

28212943472640 is a wasteful number, since it uses less digits than its factorization.

28212943472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3143 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 28212943472640 in words is "twenty-eight trillion, two hundred twelve billion, nine hundred forty-three million, four hundred seventy-two thousand, six hundred forty".