428138161952 has 54 divisors (see below), whose sum is σ = 851918532507. Its totient is φ = 211801968576.

The previous prime is 428138161951. The next prime is 428138161991. The reversal of 428138161952 is 259161831824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 214069080976 + 214069080976 = 462676^2 + 462676^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=462676.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 428138161952.

It is not an unprimeable number, because it can be changed into a prime (428138161951) 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 8 ways as a sum of consecutive naturals, for example, 381244463 + ... + 381245585.

Almost surely, 2^428138161952 is an apocalyptic number.

It is an amenable number.

428138161952 is a deficient number, since it is larger than the sum of its proper divisors (423780370555).

428138161952 is an frugal number, since it uses more digits than its factorization.

428138161952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 1228 counting only the distinct ones).

The product of its digits is 829440, while the sum is 50.

Multiplying 428138161952 by its sum of digits (50), we get a square (21406908097600 = 4626760²).

The spelling of 428138161952 in words is "four hundred twenty-eight billion, one hundred thirty-eight million, one hundred sixty-one thousand, nine hundred fifty-two".