428817622743216 has 90 divisors (see below), whose sum is σ = 1396027439370252. Its totient is φ = 122519320781760.

The previous prime is 428817622743203. The next prime is 428817622743319. The reversal of 428817622743216 is 612347226718824.

428817622743216 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 176 + 2 + 27 + 432 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 17 ways as a sum of consecutive naturals, for example, 30386729250 + ... + 30386743361.

Almost surely, 2^{428817622743216} is an apocalyptic number.

It is an amenable number.

428817622743216 is an abundant number, since it is smaller than the sum of its proper divisors (967209816627036).

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

428817622743216 is a wasteful number, since it uses less digits than its factorization.

428817622743216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60773472639 (or 60773472623 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 428817622743216 in words is "four hundred twenty-eight trillion, eight hundred seventeen billion, six hundred twenty-two million, seven hundred forty-three thousand, two hundred sixteen".