428357853 has 72 divisors (see below), whose sum is σ = 790676640. Its totient is φ = 220973760.

The previous prime is 428357749. The next prime is 428357879. The reversal of 428357853 is 358753824.

428357853 is a `hidden beast` number, since 4 + 28 + 3 + 578 + 53 = 666.

It is not a de Polignac number, because 428357853 - 2¹⁰ = 428356829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 428357799 and 428357808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428357453) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1100983 + ... + 1101371.

It is an arithmetic number, because the mean of its divisors is an integer number (10981620).

Almost surely, 2^428357853 is an apocalyptic number.

It is an amenable number.

428357853 is a deficient number, since it is larger than the sum of its proper divisors (362318787).

428357853 is a wasteful number, since it uses less digits than its factorization.

428357853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 637 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 428357853 is about 20696.8077973392. The cubic root of 428357853 is about 753.8221788424.

It can be divided in two parts, 428 and 357853, that added together give a triangular number (358281 = T₈₄₆).

The spelling of 428357853 in words is "four hundred twenty-eight million, three hundred fifty-seven thousand, eight hundred fifty-three".