28646498073600 has 792 divisors, whose sum is σ = 115751035455120. Its totient is φ = 6705119232000.

The previous prime is 28646498073577. The next prime is 28646498073601. The reversal of 28646498073600 is 637089464682.

28646498073600 is a `hidden beast` number, since 2 + 86 + 4 + 6 + 498 + 0 + 7 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×28646498073600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28646498073601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73302720 + ... + 73692480.

Almost surely, 2^{28646498073600} is an apocalyptic number.

28646498073600 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 28646498073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57875517727560).

28646498073600 is an abundant number, since it is smaller than the sum of its proper divisors (87104537381520).

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

28646498073600 is a wasteful number, since it uses less digits than its factorization.

28646498073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389837 (or 389811 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 28646498073600 in words is "twenty-eight trillion, six hundred forty-six billion, four hundred ninety-eight million, seventy-three thousand, six hundred".