428801641 has 8 divisors (see below), whose sum is σ = 450987264. Its totient is φ = 407138160.

The previous prime is 428801609. The next prime is 428801647. The reversal of 428801641 is 146108824.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 428801641 - 2⁵ = 428801609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 428801597 and 428801606.

It is not an unprimeable number, because it can be changed into a prime (428801647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128851 + ... + 132136.

It is an arithmetic number, because the mean of its divisors is an integer number (56373408).

Almost surely, 2^428801641 is an apocalyptic number.

It is an amenable number.

428801641 is a deficient number, since it is larger than the sum of its proper divisors (22185623).

428801641 is a wasteful number, since it uses less digits than its factorization.

428801641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261071.

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 428801641 is about 20707.5261921843. The cubic root of 428801641 is about 754.0824143534.

It can be divided in two parts, 42880 and 1641, that added together give a square (44521 = 211²).

The spelling of 428801641 in words is "four hundred twenty-eight million, eight hundred one thousand, six hundred forty-one".