82024628 has 18 divisors (see below), whose sum is σ = 166979106. Its totient is φ = 35153328.

The previous prime is 82024627. The next prime is 82024633. The reversal of 82024628 is 82642028.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 79780624 + 2244004 = 8932^2 + 1498^2 .

It is a junction number, because it is equal to n+sod(n) for n = 82024594 and 82024603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82024627) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 209051 + ... + 209442.

It is an arithmetic number, because the mean of its divisors is an integer number (9276617).

Almost surely, 2^82024628 is an apocalyptic number.

It is an amenable number.

82024628 is an abundant number, since it is smaller than the sum of its proper divisors (84954478).

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

82024628 is a wasteful number, since it uses less digits than its factorization.

82024628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418511 (or 418502 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 82024628 is about 9056.7448898597. The cubic root of 82024628 is about 434.4916384875.

The spelling of 82024628 in words is "eighty-two million, twenty-four thousand, six hundred twenty-eight".