82359728 has 20 divisors (see below), whose sum is σ = 174078888. Its totient is φ = 37436160.

The previous prime is 82359707. The next prime is 82359733. The reversal of 82359728 is 82795328.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 3 ways as a sum of consecutive naturals, for example, 233801 + ... + 234152.

Almost surely, 2^82359728 is an apocalyptic number.

82359728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82359728 is an abundant number, since it is smaller than the sum of its proper divisors (91719160).

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

82359728 is a wasteful number, since it uses less digits than its factorization.

82359728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467972 (or 467966 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 82359728 is about 9075.2260577905. The cubic root of 82359728 is about 435.0825192463.

Subtracting 82359728 from its reverse (82795328), we obtain a square (435600 = 660²).

The spelling of 82359728 in words is "eighty-two million, three hundred fifty-nine thousand, seven hundred twenty-eight".