82433377728 has 448 divisors, whose sum is σ = 271621504000. Its totient is φ = 24350699520.

The previous prime is 82433377711. The next prime is 82433377729. The reversal of 82433377728 is 82777333428.

It is a happy number.

82433377728 is a `hidden beast` number, since 8 + 243 + 3 + 377 + 7 + 28 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82433377729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58922373 + ... + 58923771.

It is an arithmetic number, because the mean of its divisors is an integer number (606298000).

Almost surely, 2^82433377728 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 82433377728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135810752000).

82433377728 is an abundant number, since it is smaller than the sum of its proper divisors (189188126272).

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

82433377728 is a wasteful number, since it uses less digits than its factorization.

82433377728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1521 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 82433377728 in words is "eighty-two billion, four hundred thirty-three million, three hundred seventy-seven thousand, seven hundred twenty-eight".