82731033000 has 768 divisors, whose sum is σ = 359970324480. Its totient is φ = 16632000000.

The previous prime is 82731032987. The next prime is 82731033013. The reversal of 82731033000 is 33013728.

It is an interprime number because it is at equal distance from previous prime (82731032987) and next prime (82731033013).

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, 21481075 + ... + 21484925.

It is an arithmetic number, because the mean of its divisors is an integer number (468711360).

Almost surely, 2^82731033000 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 82731033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179985162240).

82731033000 is an abundant number, since it is smaller than the sum of its proper divisors (277239291480).

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

82731033000 is a wasteful number, since it uses less digits than its factorization.

82731033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 82731033000 its reverse (33013728), we get a palindrome (82764046728).

The spelling of 82731033000 in words is "eighty-two billion, seven hundred thirty-one million, thirty-three thousand".