28532642294016 has 720 divisors, whose sum is σ = 101045902003200. Its totient is φ = 7836077998080.

The previous prime is 28532642293973. The next prime is 28532642294083. The reversal of 28532642294016 is 61049224623582.

28532642294016 is a `hidden beast` number, since 2 + 8 + 5 + 3 + 2 + 6 + 4 + 229 + 401 + 6 = 666.

It is a super-2 number, since 2×28532642294016² (a number of 28 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 670435810 + ... + 670478366.

It is an arithmetic number, because the mean of its divisors is an integer number (140341530560).

Almost surely, 2^{28532642294016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28532642294016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50522951001600).

28532642294016 is an abundant number, since it is smaller than the sum of its proper divisors (72513259709184).

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

28532642294016 is a wasteful number, since it uses less digits than its factorization.

28532642294016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42772 (or 42749 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 28532642294016 in words is "twenty-eight trillion, five hundred thirty-two billion, six hundred forty-two million, two hundred ninety-four thousand, sixteen".