82602728 has 64 divisors (see below), whose sum is σ = 185976000. Its totient is φ = 33979392.

The previous prime is 82602727. The next prime is 82602757. The reversal of 82602728 is 82720628.

It is not an unprimeable number, because it can be changed into a prime (82602727) 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, 32363 + ... + 34821.

It is an arithmetic number, because the mean of its divisors is an integer number (2905875).

Almost surely, 2^82602728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82602728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92988000).

82602728 is an abundant number, since it is smaller than the sum of its proper divisors (103373272).

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

82602728 is a wasteful number, since it uses less digits than its factorization.

82602728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2514 (or 2510 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 82602728 is about 9088.6042932895. The cubic root of 82602728 is about 435.5099985709.

The spelling of 82602728 in words is "eighty-two million, six hundred two thousand, seven hundred twenty-eight".