428862681 has 63 divisors (see below), whose sum is σ = 708267279. Its totient is φ = 259442352.

The previous prime is 428862659. The next prime is 428862703. The reversal of 428862681 is 186268824.

The square root of 428862681 is 20709.

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

It is an interprime number because it is at equal distance from previous prime (428862659) and next prime (428862703).

It can be written as a sum of positive squares in only one way, i.e., 63441225 + 365421456 = 7965^2 + 19116^2 .

It is not a de Polignac number, because 428862681 - 2¹⁷ = 428731609 is a prime.

It is a super-3 number, since 3×428862681³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (428862601) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7268830 + ... + 7268888.

Almost surely, 2^428862681 is an apocalyptic number.

428862681 is the 20709-th square number.

428862681 is the 10355-th centered octagonal number.

It is an amenable number.

428862681 is a deficient number, since it is larger than the sum of its proper divisors (279404598).

428862681 is an frugal number, since it uses more digits than its factorization.

428862681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 75 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The cubic root of 428862681 is about 754.1181939169.

The spelling of 428862681 in words is "four hundred twenty-eight million, eight hundred sixty-two thousand, six hundred eighty-one".