428480096895 has 48 divisors (see below), whose sum is σ = 768410660160. Its totient is φ = 220613471232.

The previous prime is 428480096881. The next prime is 428480096903. The reversal of 428480096895 is 598690084824.

428480096895 is a `hidden beast` number, since 4 + 2 + 8 + 480 + 0 + 9 + 68 + 95 = 666.

It is not a de Polignac number, because 428480096895 - 2⁶ = 428480096831 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12729127 + ... + 12762743.

It is an arithmetic number, because the mean of its divisors is an integer number (16008555420).

Almost surely, 2^428480096895 is an apocalyptic number.

428480096895 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

428480096895 is a deficient number, since it is larger than the sum of its proper divisors (339930563265).

428480096895 is a wasteful number, since it uses less digits than its factorization.

428480096895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43424 (or 43421 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 428480096895 in words is "four hundred twenty-eight billion, four hundred eighty million, ninety-six thousand, eight hundred ninety-five".