28033995652416 has 504 divisors, whose sum is σ = 91341085670016. Its totient is φ = 8170584238080.

The previous prime is 28033995652373. The next prime is 28033995652417. The reversal of 28033995652416 is 61425659933082.

It is a happy number.

28033995652416 is a `hidden beast` number, since 2 + 8 + 0 + 3 + 3 + 9 + 95 + 6 + 524 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28033995652417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 407964301 + ... + 408033011.

Almost surely, 2^{28033995652416} is an apocalyptic number.

28033995652416 is a gapful number since it is divisible by the number (26) 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 28033995652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45670542835008).

28033995652416 is an abundant number, since it is smaller than the sum of its proper divisors (63307090017600).

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

28033995652416 is a wasteful number, since it uses less digits than its factorization.

28033995652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68891 (or 68855 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 28033995652416 in words is "twenty-eight trillion, thirty-three billion, nine hundred ninety-five million, six hundred fifty-two thousand, four hundred sixteen".