28561811400252 has 192 divisors, whose sum is σ = 84924206559360. Its totient is φ = 8223481663488.

The previous prime is 28561811400251. The next prime is 28561811400263. The reversal of 28561811400252 is 25200411816582.

28561811400252 is a `hidden beast` number, since 2 + 8 + 5 + 618 + 1 + 1 + 4 + 0 + 0 + 25 + 2 = 666.

It is a super-2 number, since 2×28561811400252² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28561811400198 and 28561811400207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28561811400251) 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, 670618 + ... + 7587710.

It is an arithmetic number, because the mean of its divisors is an integer number (442313575830).

Almost surely, 2^{28561811400252} 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 28561811400252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42462103279680).

28561811400252 is an abundant number, since it is smaller than the sum of its proper divisors (56362395159108).

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

28561811400252 is a wasteful number, since it uses less digits than its factorization.

28561811400252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6917309 (or 6917301 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 28561811400252 in words is "twenty-eight trillion, five hundred sixty-one billion, eight hundred eleven million, four hundred thousand, two hundred fifty-two".