92006326922328 has 960 divisors, whose sum is σ = 342245613346560. Its totient is φ = 22810063159296.

The previous prime is 92006326922309. The next prime is 92006326922333. The reversal of 92006326922328 is 82322962360029.

92006326922328 is a `hidden beast` number, since 9 + 200 + 6 + 3 + 26 + 92 + 2 + 328 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6055829100 + ... + 6055844292.

It is an arithmetic number, because the mean of its divisors is an integer number (356505847236).

Almost surely, 2^{92006326922328} is an apocalyptic number.

92006326922328 is a gapful number since it is divisible by the number (98) 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 92006326922328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171122806673280).

92006326922328 is an abundant number, since it is smaller than the sum of its proper divisors (250239286424232).

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

92006326922328 is a wasteful number, since it uses less digits than its factorization.

92006326922328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16118 (or 16098 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 92006326922328 in words is "ninety-two trillion, six billion, three hundred twenty-six million, nine hundred twenty-two thousand, three hundred twenty-eight".