428293727010768 has 40 divisors (see below), whose sum is σ = 1106426740524448. Its totient is φ = 142764410627712.

The previous prime is 428293727010749. The next prime is 428293727010797. The reversal of 428293727010768 is 867010727392824.

It is a junction number, because it is equal to n+sod(n) for n = 428293727010699 and 428293727010708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41066655 + ... + 50428737.

Almost surely, 2^{428293727010768} is an apocalyptic number.

428293727010768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428293727010768 is an abundant number, since it is smaller than the sum of its proper divisors (678133013513680).

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

428293727010768 is a wasteful number, since it uses less digits than its factorization.

428293727010768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10315171 (or 10315165 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 66.

The spelling of 428293727010768 in words is "four hundred twenty-eight trillion, two hundred ninety-three billion, seven hundred twenty-seven million, ten thousand, seven hundred sixty-eight".