28356241536 has 768 divisors, whose sum is σ = 105217781760. Its totient is φ = 7417184256.

The previous prime is 28356241457. The next prime is 28356241561. The reversal of 28356241536 is 63514265382.

28356241536 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 624 + 15 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28356241491 and 28356241500.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 173964591 + ... + 173964753.

It is an arithmetic number, because the mean of its divisors is an integer number (137002320).

Almost surely, 2^28356241536 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 28356241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52608890880).

28356241536 is an abundant number, since it is smaller than the sum of its proper divisors (76861540224).

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

28356241536 is a wasteful number, since it uses less digits than its factorization.

28356241536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 28356241536 in words is "twenty-eight billion, three hundred fifty-six million, two hundred forty-one thousand, five hundred thirty-six".