428735405376 has 168 divisors, whose sum is σ = 1349373130560. Its totient is φ = 134505142272.

The previous prime is 428735405299. The next prime is 428735405381. The reversal of 428735405376 is 673504537824.

It is a happy number.

428735405376 is a `hidden beast` number, since 4 + 28 + 7 + 3 + 540 + 5 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 546436 + ... + 1075203.

It is an arithmetic number, because the mean of its divisors is an integer number (8031982920).

Almost surely, 2^428735405376 is an apocalyptic number.

It is an amenable number.

428735405376 is an abundant number, since it is smaller than the sum of its proper divisors (920637725184).

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

428735405376 is a wasteful number, since it uses less digits than its factorization.

428735405376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621683 (or 1621661 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 428735405376 in words is "four hundred twenty-eight billion, seven hundred thirty-five million, four hundred five thousand, three hundred seventy-six".