428000653 has 8 divisors (see below), whose sum is σ = 453471480. Its totient is φ = 402562560.

The previous prime is 428000633. The next prime is 428000701. The reversal of 428000653 is 356000824.

428000653 is a nontrivial binomial coefficient, being equal to C(29258, 2).

It can be written as a sum of positive squares in 4 ways, for example, as 94828644 + 333172009 = 9738^2 + 18253^2 .

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 428000653 - 2⁵ = 428000621 is a prime.

It is a super-3 number, since 3×428000653³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428000603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21943 + ... + 36571.

It is an arithmetic number, because the mean of its divisors is an integer number (56683935).

Almost surely, 2^428000653 is an apocalyptic number.

428000653 is the 29257-th triangular number and also the 14629-th hexagonal number.

428000653 is the 9753-rd centered nonagonal number.

It is an amenable number.

428000653 is a deficient number, since it is larger than the sum of its proper divisors (25470827).

428000653 is a wasteful number, since it uses less digits than its factorization.

428000653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16367.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 428000653 is about 20688.1766475444. The cubic root of 428000653 is about 753.6125876013.

The spelling of 428000653 in words is "four hundred twenty-eight million, six hundred fifty-three", and thus it is an aban number.