36228829248 has 84 divisors (see below), whose sum is σ = 105802796268. Its totient is φ = 11848412160.

The previous prime is 36228829237. The next prime is 36228829249. The reversal of 36228829248 is 84292882263.

36228829248 is a `hidden beast` number, since 3 + 622 + 8 + 8 + 2 + 9 + 2 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30301061184 + 5927768064 = 174072^2 + 76992^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36228829194 and 36228829203.

It is not an unprimeable number, because it can be changed into a prime (36228829249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 562843 + ... + 623898.

Almost surely, 2^36228829248 is an apocalyptic number.

It is an amenable number.

36228829248 is an abundant number, since it is smaller than the sum of its proper divisors (69573967020).

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

36228829248 is a wasteful number, since it uses less digits than its factorization.

36228829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186812 (or 1186799 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 36228829248 in words is "thirty-six billion, two hundred twenty-eight million, eight hundred twenty-nine thousand, two hundred forty-eight".