82733266233728 has 128 divisors (see below), whose sum is σ = 184004689651200. Its totient is φ = 36727603476480.

The previous prime is 82733266233713. The next prime is 82733266233743.

82733266233728 is nontrivially palindromic in base 10.

82733266233728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (82733266233713) and next prime (82733266233743).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618874478 + ... + 619008146.

It is an arithmetic number, because the mean of its divisors is an integer number (1437536637900).

Almost surely, 2^{82733266233728} is an apocalyptic number.

82733266233728 is a gapful number since it is divisible by the number (88) 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 82733266233728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92002344825600).

82733266233728 is an abundant number, since it is smaller than the sum of its proper divisors (101271423417472).

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

82733266233728 is a wasteful number, since it uses less digits than its factorization.

82733266233728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143960 (or 143948 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 62.

The spelling of 82733266233728 in words is "eighty-two trillion, seven hundred thirty-three billion, two hundred sixty-six million, two hundred thirty-three thousand, seven hundred twenty-eight".