28135072350 has 576 divisors, whose sum is σ = 97911590400. Its totient is φ = 5740761600.

The previous prime is 28135072331. The next prime is 28135072363. The reversal of 28135072350 is 5327053182.

It is a happy number.

28135072350 is a `hidden beast` number, since 2 + 81 + 3 + 507 + 23 + 50 = 666.

It is a super-2 number, since 2×28135072350² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 123942937 + ... + 123943163.

It is an arithmetic number, because the mean of its divisors is an integer number (169985400).

Almost surely, 2^28135072350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28135072350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48955795200).

28135072350 is an abundant number, since it is smaller than the sum of its proper divisors (69776518050).

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

28135072350 is a wasteful number, since it uses less digits than its factorization.

28135072350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 28135072350 in words is "twenty-eight billion, one hundred thirty-five million, seventy-two thousand, three hundred fifty".