392428986354048 has 512 divisors, whose sum is σ = 1272502517760000. Its totient is φ = 106977382041600.

The previous prime is 392428986354043. The next prime is 392428986354071. The reversal of 392428986354048 is 840453689824293.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (392428986354043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 289221273 + ... + 290574951.

It is an arithmetic number, because the mean of its divisors is an integer number (2485356480000).

Almost surely, 2^{392428986354048} 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 392428986354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636251258880000).

392428986354048 is an abundant number, since it is smaller than the sum of its proper divisors (880073531405952).

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

392428986354048 is a wasteful number, since it uses less digits than its factorization.

392428986354048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353819 (or 1353793 counting only the distinct ones).

The product of its (nonzero) digits is 2866544640, while the sum is 75.

The spelling of 392428986354048 in words is "three hundred ninety-two trillion, four hundred twenty-eight billion, nine hundred eighty-six million, three hundred fifty-four thousand, forty-eight".