82728448 has 80 divisors (see below), whose sum is σ = 185662224. Its totient is φ = 36495360.

The previous prime is 82728439. The next prime is 82728449. The reversal of 82728448 is 84482728.

It is a super-2 number, since 2×82728448² = 13687992216977408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82728449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208186 + ... + 208582.

Almost surely, 2^82728448 is an apocalyptic number.

82728448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92831112).

82728448 is an abundant number, since it is smaller than the sum of its proper divisors (102933776).

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

82728448 is a wasteful number, since it uses less digits than its factorization.

82728448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its digits is 229376, while the sum is 43.

The square root of 82728448 is about 9095.5180171335. The cubic root of 82728448 is about 435.7308329365.

It can be divided in two parts, 8 and 2728448, that multiplied together give a square (21827584 = 4672²).

The spelling of 82728448 in words is "eighty-two million, seven hundred twenty-eight thousand, four hundred forty-eight".