92084328 has 144 divisors (see below), whose sum is σ = 297348480. Its totient is φ = 25655616.

The previous prime is 92084323. The next prime is 92084329. The reversal of 92084328 is 82348029.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 92084292 and 92084301.

It is not an unprimeable number, because it can be changed into a prime (92084323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151401 + ... + 152007.

It is an arithmetic number, because the mean of its divisors is an integer number (2064920).

Almost surely, 2^92084328 is an apocalyptic number.

92084328 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 92084328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148674240).

92084328 is an abundant number, since it is smaller than the sum of its proper divisors (205264152).

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

92084328 is a wasteful number, since it uses less digits than its factorization.

92084328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 92084328 is about 9596.0579406337. The cubic root of 92084328 is about 451.5736314023.

The spelling of 92084328 in words is "ninety-two million, eighty-four thousand, three hundred twenty-eight".