28461755521936 has 405 divisors, whose sum is σ = 65094244979673. Its totient is φ = 12045903851520.

The previous prime is 28461755521883. The next prime is 28461755521961. The reversal of 28461755521936 is 63912555716482.

It is a happy number.

The square root of 28461755521936 is 5334956.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 19051094939536 + 9410660582400 = 4364756^2 + 3067680^2 .

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

Its product of digits (108864000) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 251873942616 + ... + 251873942728.

Almost surely, 2^{28461755521936} is an apocalyptic number.

28461755521936 is the 5334956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28461755521936

28461755521936 is an abundant number, since it is smaller than the sum of its proper divisors (36632489457737).

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

28461755521936 is a wasteful number, since it uses less digits than its factorization.

28461755521936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 192 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 64.

The spelling of 28461755521936 in words is "twenty-eight trillion, four hundred sixty-one billion, seven hundred fifty-five million, five hundred twenty-one thousand, nine hundred thirty-six".