920605231728 has 720 divisors, whose sum is σ = 3360240514176. Its totient is φ = 241847907840.

The previous prime is 920605231709. The next prime is 920605231751. The reversal of 920605231728 is 827132506029.

920605231728 is a `hidden beast` number, since 9 + 2 + 0 + 605 + 2 + 3 + 17 + 28 = 666.

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 143 ways as a sum of consecutive naturals, for example, 819772575 + ... + 819773697.

Almost surely, 2^920605231728 is an apocalyptic number.

920605231728 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 920605231728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1680120257088).

920605231728 is an abundant number, since it is smaller than the sum of its proper divisors (2439635282448).

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

920605231728 is a wasteful number, since it uses less digits than its factorization.

920605231728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 920605231728 in words is "nine hundred twenty billion, six hundred five million, two hundred thirty-one thousand, seven hundred twenty-eight".