428588349354 has 144 divisors (see below), whose sum is σ = 1039005895200. Its totient is φ = 127552708800.

The previous prime is 428588349347. The next prime is 428588349361. The reversal of 428588349354 is 453943885824.

428588349354 is a `hidden beast` number, since 4 + 2 + 8 + 588 + 3 + 49 + 3 + 5 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (428588349347) and next prime (428588349361).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 428588349291 and 428588349300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104557197 + ... + 104561295.

Almost surely, 2^428588349354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428588349354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519502947600).

428588349354 is an abundant number, since it is smaller than the sum of its proper divisors (610417545846).

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

428588349354 is a wasteful number, since it uses less digits than its factorization.

428588349354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4963 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 428588349354 in words is "four hundred twenty-eight billion, five hundred eighty-eight million, three hundred forty-nine thousand, three hundred fifty-four".