428024601279 has 72 divisors (see below), whose sum is σ = 728286170976. Its totient is φ = 241423459200.

The previous prime is 428024601253. The next prime is 428024601397. The reversal of 428024601279 is 972106420824.

428024601279 is a `hidden beast` number, since 4 + 280 + 246 + 0 + 127 + 9 = 666.

It is not a de Polignac number, because 428024601279 - 2⁵ = 428024601247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428024602279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 695809 + ... + 1157669.

It is an arithmetic number, because the mean of its divisors is an integer number (10115085708).

Almost surely, 2^428024601279 is an apocalyptic number.

428024601279 is a deficient number, since it is larger than the sum of its proper divisors (300261569697).

428024601279 is a wasteful number, since it uses less digits than its factorization.

428024601279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461949 (or 461935 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 428024601279 in words is "four hundred twenty-eight billion, twenty-four million, six hundred one thousand, two hundred seventy-nine".