428643060346824 has 64 divisors (see below), whose sum is σ = 1118203374090240. Its totient is φ = 136668302422080.

The previous prime is 428643060346819. The next prime is 428643060346877.

It is a happy number.

428643060346824 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168103089 + ... + 170633919.

It is an arithmetic number, because the mean of its divisors is an integer number (17471927720160).

Almost surely, 2^{428643060346824} is an apocalyptic number.

It is an amenable number.

428643060346824 is an abundant number, since it is smaller than the sum of its proper divisors (689560313743416).

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

428643060346824 is a wasteful number, since it uses less digits than its factorization.

428643060346824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837690 (or 2837686 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 60.

The spelling of 428643060346824 in words is "four hundred twenty-eight trillion, six hundred forty-three billion, sixty million, three hundred forty-six thousand, eight hundred twenty-four".