82348728 has 96 divisors (see below), whose sum is σ = 258679680. Its totient is φ = 21384000.

The previous prime is 82348727. The next prime is 82348729. The reversal of 82348728 is 82784328.

It is an interprime number because it is at equal distance from previous prime (82348727) and next prime (82348729).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 82348728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82348727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18303 + ... + 22353.

It is an arithmetic number, because the mean of its divisors is an integer number (2694580).

Almost surely, 2^82348728 is an apocalyptic number.

82348728 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 82348728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129339840).

82348728 is an abundant number, since it is smaller than the sum of its proper divisors (176330952).

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

82348728 is a wasteful number, since it uses less digits than its factorization.

82348728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4074 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 82348728 is about 9074.6199920437. The cubic root of 82348728 is about 435.0631484490.

Subtracting 82348728 from its reverse (82784328), we obtain a square (435600 = 660²).

The spelling of 82348728 in words is "eighty-two million, three hundred forty-eight thousand, seven hundred twenty-eight".