28213668252 has 540 divisors, whose sum is σ = 99398736360. Its totient is φ = 6933548160.

The previous prime is 28213668251. The next prime is 28213668257. The reversal of 28213668252 is 25286631282.

28213668252 is a `hidden beast` number, since 282 + 1 + 366 + 8 + 2 + 5 + 2 = 666.

It is a super-2 number, since 2×28213668252² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28213668198 and 28213668207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28213668251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 36498538 + ... + 36499310.

It is an arithmetic number, because the mean of its divisors is an integer number (184071734).

Almost surely, 2^28213668252 is an apocalyptic number.

28213668252 is a gapful number since it is divisible by the number (22) 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 28213668252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49699368180).

28213668252 is an abundant number, since it is smaller than the sum of its proper divisors (71185068108).

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

28213668252 is a wasteful number, since it uses less digits than its factorization.

28213668252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 815 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 28213668252 in words is "twenty-eight billion, two hundred thirteen million, six hundred sixty-eight thousand, two hundred fifty-two".