428908724608 has 128 divisors (see below), whose sum is σ = 1055401784640. Its totient is φ = 169073049600.

The previous prime is 428908724603. The next prime is 428908724611. The reversal of 428908724608 is 806427809824.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×428908724608² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428908724603) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3207568 + ... + 3338608.

Almost surely, 2^428908724608 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 428908724608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527700892320).

428908724608 is an abundant number, since it is smaller than the sum of its proper divisors (626493060032).

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

428908724608 is a wasteful number, since it uses less digits than its factorization.

428908724608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131356 (or 131344 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 58.

The spelling of 428908724608 in words is "four hundred twenty-eight billion, nine hundred eight million, seven hundred twenty-four thousand, six hundred eight".