428938544356 has 135 divisors (see below), whose sum is σ = 903117223113. Its totient is φ = 178246837440.

The previous prime is 428938544351. The next prime is 428938544387. The reversal of 428938544356 is 653445839824.

It is a happy number.

The square root of 428938544356 is 654934.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20668662756 + 408269881600 = 143766^2 + 638960^2 .

It is a junction number, because it is equal to n+sod(n) for n = 428938544294 and 428938544303.

It is not an unprimeable number, because it can be changed into a prime (428938544351) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2631524731 + ... + 2631524893.

Almost surely, 2^428938544356 is an apocalyptic number.

428938544356 is the 654934-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428938544356

428938544356 is an abundant number, since it is smaller than the sum of its proper divisors (474178678757).

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

428938544356 is an frugal number, since it uses more digits than its factorization.

428938544356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 213 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 61.

The spelling of 428938544356 in words is "four hundred twenty-eight billion, nine hundred thirty-eight million, five hundred forty-four thousand, three hundred fifty-six".