428795941248 has 96 divisors (see below), whose sum is σ = 1240365859200. Its totient is φ = 142183572480.

The previous prime is 428795941243. The next prime is 428795941261. The reversal of 428795941248 is 842149597824.

428795941248 is a `hidden beast` number, since 4 + 28 + 7 + 9 + 594 + 12 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428795941243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754363 + ... + 1194426.

It is an arithmetic number, because the mean of its divisors is an integer number (12920477700).

Almost surely, 2^428795941248 is an apocalyptic number.

428795941248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428795941248 is an abundant number, since it is smaller than the sum of its proper divisors (811569917952).

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

428795941248 is a wasteful number, since it uses less digits than its factorization.

428795941248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949000 (or 1948985 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 428795941248 in words is "four hundred twenty-eight billion, seven hundred ninety-five million, nine hundred forty-one thousand, two hundred forty-eight".