428478340582656 has 2592 divisors, whose sum is σ = 1689065575561728. Its totient is φ = 105259519180800.

The previous prime is 428478340582631. The next prime is 428478340582661. The reversal of 428478340582656 is 656285043874824.

428478340582656 is a `hidden beast` number, since 4 + 2 + 8 + 4 + 7 + 8 + 34 + 0 + 582 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 267631692256 + ... + 267631693856.

It is an arithmetic number, because the mean of its divisors is an integer number (651645669584).

Almost surely, 2^{428478340582656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428478340582656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844532787780864).

428478340582656 is an abundant number, since it is smaller than the sum of its proper divisors (1260587234979072).

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

428478340582656 is a wasteful number, since it uses less digits than its factorization.

428478340582656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 2477260800, while the sum is 72.

The spelling of 428478340582656 in words is "four hundred twenty-eight trillion, four hundred seventy-eight billion, three hundred forty million, five hundred eighty-two thousand, six hundred fifty-six".