82243728 has 80 divisors (see below), whose sum is σ = 269804160. Its totient is φ = 23497344.

The previous prime is 82243727. The next prime is 82243729. The reversal of 82243728 is 82734228.

It is an interprime number because it is at equal distance from previous prime (82243727) and next prime (82243729).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 82243692 and 82243701.

It is not an unprimeable number, because it can be changed into a prime (82243727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10575 + ... + 16622.

It is an arithmetic number, because the mean of its divisors is an integer number (3372552).

Almost surely, 2^82243728 is an apocalyptic number.

It is an amenable number.

82243728 is an abundant number, since it is smaller than the sum of its proper divisors (187560432).

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

82243728 is a wasteful number, since it uses less digits than its factorization.

82243728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27221 (or 27209 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 82243728 is about 9068.8327804630. The cubic root of 82243728 is about 434.8781585038.

The spelling of 82243728 in words is "eighty-two million, two hundred forty-three thousand, seven hundred twenty-eight".