428271318240 has 48 divisors (see below), whose sum is σ = 1349054653968. Its totient is φ = 114205684736.

The previous prime is 428271318227. The next prime is 428271318247. The reversal of 428271318240 is 42813172824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 428271318192 and 428271318201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428271318247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446115477 + ... + 446116436.

It is an arithmetic number, because the mean of its divisors is an integer number (28105305291).

Almost surely, 2^428271318240 is an apocalyptic number.

428271318240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428271318240 is an abundant number, since it is smaller than the sum of its proper divisors (920783335728).

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

428271318240 is a wasteful number, since it uses less digits than its factorization.

428271318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892231931 (or 892231923 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 428271318240 in words is "four hundred twenty-eight billion, two hundred seventy-one million, three hundred eighteen thousand, two hundred forty".