428133353761 has 9 divisors (see below), whose sum is σ = 438857819443. Its totient is φ = 417664904080.

The previous prime is 428133353723. The next prime is 428133353773. The reversal of 428133353761 is 167353331824.

The square root of 428133353761 is 654319.

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., 20629864161 + 407503489600 = 143631^2 + 638360^2 .

It is not a de Polignac number, because 428133353761 - 2¹¹ = 428133351713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428133393761) 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, 26819100 + ... + 26835058.

Almost surely, 2^428133353761 is an apocalyptic number.

428133353761 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

428133353761 is the 654319-th square number.

428133353761 is the 327160-th centered octagonal number.

It is an amenable number.

428133353761 is a deficient number, since it is larger than the sum of its proper divisors (10724465682).

428133353761 is an frugal number, since it uses more digits than its factorization.

428133353761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32000 (or 16000 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The spelling of 428133353761 in words is "four hundred twenty-eight billion, one hundred thirty-three million, three hundred fifty-three thousand, seven hundred sixty-one".