82389270528 has 224 divisors, whose sum is σ = 247122654750. Its totient is φ = 27455127552.

The previous prime is 82389270449. The next prime is 82389270533. The reversal of 82389270528 is 82507298328.

It is a happy number.

82389270528 is a `hidden beast` number, since 8 + 23 + 8 + 92 + 7 + 0 + 528 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82281775104 + 107495424 = 286848^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23886148 + ... + 23889596.

Almost surely, 2^82389270528 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 82389270528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123561327375).

82389270528 is an abundant number, since it is smaller than the sum of its proper divisors (164733384222).

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

82389270528 is an frugal number, since it uses more digits than its factorization.

82389270528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 82389270528 in words is "eighty-two billion, three hundred eighty-nine million, two hundred seventy thousand, five hundred twenty-eight".