8228682624 has 32 divisors (see below), whose sum is σ = 21857439240. Its totient is φ = 2742894080.

The previous prime is 8228682593. The next prime is 8228682629. The reversal of 8228682624 is 4262868228.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×8228682624² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8228682629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10714047 + ... + 10714814.

Almost surely, 2^8228682624 is an apocalyptic number.

It is an amenable number.

8228682624 is an abundant number, since it is smaller than the sum of its proper divisors (13628756616).

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

8228682624 is a wasteful number, since it uses less digits than its factorization.

8228682624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21428878 (or 21428866 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 8228682624 is about 90712.0864273334. The cubic root of 8228682624 is about 2018.8781327304.

The spelling of 8228682624 in words is "eight billion, two hundred twenty-eight million, six hundred eighty-two thousand, six hundred twenty-four".