82428128640 has 1536 divisors, whose sum is σ = 368903808000. Its totient is φ = 16641884160.

The previous prime is 82428128623. The next prime is 82428128707. The reversal of 82428128640 is 4682182428.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 359948046 + ... + 359948274.

It is an arithmetic number, because the mean of its divisors is an integer number (240171750).

Almost surely, 2^82428128640 is an apocalyptic number.

82428128640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82428128640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184451904000).

82428128640 is an abundant number, since it is smaller than the sum of its proper divisors (286475679360).

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

82428128640 is a wasteful number, since it uses less digits than its factorization.

82428128640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 82428128640 in words is "eighty-two billion, four hundred twenty-eight million, one hundred twenty-eight thousand, six hundred forty".