82528420 has 72 divisors (see below), whose sum is σ = 191912616. Its totient is φ = 29632512.

The previous prime is 82528399. The next prime is 82528427. The reversal of 82528420 is 2482528.

It can be written as a sum of positive squares in 12 ways, for example, as 38862756 + 43665664 = 6234^2 + 6608^2 .

It is not an unprimeable number, because it can be changed into a prime (82528427) 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, 730284 + ... + 730396.

It is an arithmetic number, because the mean of its divisors is an integer number (2665453).

Almost surely, 2^82528420 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 82528420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95956308).

82528420 is an abundant number, since it is smaller than the sum of its proper divisors (109384196).

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

82528420 is a wasteful number, since it uses less digits than its factorization.

82528420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 82528420 is about 9084.5153970919. The cubic root of 82528420 is about 435.3793669454.

The spelling of 82528420 in words is "eighty-two million, five hundred twenty-eight thousand, four hundred twenty".