1428635164608 has 504 divisors, whose sum is σ = 4607743725312. Its totient is φ = 438598250496.

The previous prime is 1428635164603. The next prime is 1428635164637. The reversal of 1428635164608 is 8064615368241.

1428635164608 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 63 + 516 + 4 + 60 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1428635164601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211239435 + ... + 211246197.

Almost surely, 2^{1428635164608} is an apocalyptic number.

1428635164608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428635164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303871862656).

1428635164608 is an abundant number, since it is smaller than the sum of its proper divisors (3179108560704).

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

1428635164608 is an equidigital number, since it uses as much as digits as its factorization.

1428635164608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6871 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 1428635164608 in words is "one trillion, four hundred twenty-eight billion, six hundred thirty-five million, one hundred sixty-four thousand, six hundred eight".