82702728 has 32 divisors (see below), whose sum is σ = 229730400. Its totient is φ = 27567504.

The previous prime is 82702721. The next prime is 82702759. The reversal of 82702728 is 82720728.

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

It is a junction number, because it is equal to n+sod(n) for n = 82702692 and 82702701.

It is not an unprimeable number, because it can be changed into a prime (82702721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191226 + ... + 191657.

It is an arithmetic number, because the mean of its divisors is an integer number (7179075).

Almost surely, 2^82702728 is an apocalyptic number.

It is an amenable number.

82702728 is an abundant number, since it is smaller than the sum of its proper divisors (147027672).

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

82702728 is a wasteful number, since it uses less digits than its factorization.

82702728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382898 (or 382888 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 82702728 is about 9094.1040240367. The cubic root of 82702728 is about 435.6856724994.

It can be divided in two parts, 8 and 2702728, that added together give a square (2702736 = 1644²).

The spelling of 82702728 in words is "eighty-two million, seven hundred two thousand, seven hundred twenty-eight".