28252638681696 has 480 divisors, whose sum is σ = 97662453090048. Its totient is φ = 7899115023360.

The previous prime is 28252638681679. The next prime is 28252638681727. The reversal of 28252638681696 is 69618683625282.

It is a happy number.

28252638681696 is a `hidden beast` number, since 2 + 8 + 2 + 526 + 3 + 8 + 6 + 8 + 1 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 840260341 + ... + 840293963.

Almost surely, 2^{28252638681696} is an apocalyptic number.

28252638681696 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 28252638681696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48831226545024).

28252638681696 is an abundant number, since it is smaller than the sum of its proper divisors (69409814408352).

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

28252638681696 is a wasteful number, since it uses less digits than its factorization.

28252638681696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35936 (or 35919 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 28252638681696 in words is "twenty-eight trillion, two hundred fifty-two billion, six hundred thirty-eight million, six hundred eighty-one thousand, six hundred ninety-six".