92428768440 has 256 divisors, whose sum is σ = 313136409600. Its totient is φ = 24246028800.

The previous prime is 92428768403. The next prime is 92428768483. The reversal of 92428768440 is 4486782429.

92428768440 is a `hidden beast` number, since 92 + 42 + 8 + 76 + 8 + 440 = 666.

It is a Cunningham number, because it is equal to 304021²-1.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43169770 + ... + 43171910.

It is an arithmetic number, because the mean of its divisors is an integer number (1223189100).

Almost surely, 2^92428768440 is an apocalyptic number.

92428768440 is a gapful number since it is divisible by the number (90) 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 92428768440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156568204800).

92428768440 is an abundant number, since it is smaller than the sum of its proper divisors (220707641160).

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

92428768440 is a wasteful number, since it uses less digits than its factorization.

92428768440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 92428768440 in words is "ninety-two billion, four hundred twenty-eight million, seven hundred sixty-eight thousand, four hundred forty".