28770414805636 has 243 divisors, whose sum is σ = 64376465757093. Its totient is φ = 11215074689280.

The previous prime is 28770414805631. The next prime is 28770414805651. The reversal of 28770414805636 is 63650841407782.

The square root of 28770414805636 is 5363806.

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

It can be written as a sum of positive squares in only one way, i.e., 22399111872900 + 6371302932736 = 4732770^2 + 2524144^2 .

It is a super-3 number, since 3×28770414805636³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (28770414805631) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 39574160305 + ... + 39574161031.

Almost surely, 2^{28770414805636} is an apocalyptic number.

28770414805636 is the 5363806-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28770414805636

28770414805636 is an abundant number, since it is smaller than the sum of its proper divisors (35606050951457).

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

28770414805636 is an equidigital number, since it uses as much as digits as its factorization.

28770414805636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 61.

The spelling of 28770414805636 in words is "twenty-eight trillion, seven hundred seventy billion, four hundred fourteen million, eight hundred five thousand, six hundred thirty-six".