82224428 has 48 divisors (see below), whose sum is σ = 173031936. Its totient is φ = 33687360.

The previous prime is 82224413. The next prime is 82224433. The reversal of 82224428 is 82442228.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 82224394 and 82224403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22925 + ... + 26267.

It is an arithmetic number, because the mean of its divisors is an integer number (3604832).

Almost surely, 2^82224428 is an apocalyptic number.

It is an amenable number.

82224428 is an abundant number, since it is smaller than the sum of its proper divisors (90807508).

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

82224428 is a wasteful number, since it uses less digits than its factorization.

82224428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3412 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

The square root of 82224428 is about 9067.7686340136. The cubic root of 82224428 is about 434.8441384624.

The spelling of 82224428 in words is "eighty-two million, two hundred twenty-four thousand, four hundred twenty-eight".