82744728 has 128 divisors (see below), whose sum is σ = 238360320. Its totient is φ = 23708160.

The previous prime is 82744723. The next prime is 82744747.

82744728 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 82744728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82744723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419926 + ... + 420122.

It is an arithmetic number, because the mean of its divisors is an integer number (1862190).

Almost surely, 2^82744728 is an apocalyptic number.

82744728 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 82744728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180160).

82744728 is an abundant number, since it is smaller than the sum of its proper divisors (155615592).

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

82744728 is a wasteful number, since it uses less digits than its factorization.

82744728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its digits is 200704, while the sum is 42.

The square root of 82744728 is about 9096.4129193875. The cubic root of 82744728 is about 435.7594133216.

It can be divided in two parts, 82 and 744728, that added together give a triangular number (744810 = T₁₂₂₀).

The spelling of 82744728 in words is "eighty-two million, seven hundred forty-four thousand, seven hundred twenty-eight".