82667728 has 40 divisors (see below), whose sum is σ = 188175456. Its totient is φ = 34684800.

The previous prime is 82667699. The next prime is 82667779. The reversal of 82667728 is 82776628.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 15778 + ... + 20353.

Almost surely, 2^82667728 is an apocalyptic number.

82667728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82667728 is an abundant number, since it is smaller than the sum of its proper divisors (105507728).

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

82667728 is a wasteful number, since it uses less digits than its factorization.

82667728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36163 (or 36157 counting only the distinct ones).

The product of its digits is 451584, while the sum is 46.

The square root of 82667728 is about 9092.1794966883. The cubic root of 82667728 is about 435.6242027408.

Subtracting 82667728 from its reverse (82776628), we obtain a square (108900 = 330²).

The spelling of 82667728 in words is "eighty-two million, six hundred sixty-seven thousand, seven hundred twenty-eight".