379827728973 has 24 divisors (see below), whose sum is σ = 684018768576. Its totient is φ = 197313105600.

The previous prime is 379827728869. The next prime is 379827728983.

379827728973 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 277 + 289 + 73 = 666.

379827728973 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 379827728973 - 2⁹ = 379827728461 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379827728983) 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 23 ways as a sum of consecutive naturals, for example, 274045288 + ... + 274046673.

It is an arithmetic number, because the mean of its divisors is an integer number (28500782024).

Almost surely, 2^379827728973 is an apocalyptic number.

379827728973 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

379827728973 is a deficient number, since it is larger than the sum of its proper divisors (304191039603).

379827728973 is a wasteful number, since it uses less digits than its factorization.

379827728973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548091985 (or 548091982 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 72.

The spelling of 379827728973 in words is "three hundred seventy-nine billion, eight hundred twenty-seven million, seven hundred twenty-eight thousand, nine hundred seventy-three".