428753331 has 28 divisors (see below), whose sum is σ = 644520240. Its totient is φ = 285087600.

The previous prime is 428753329. The next prime is 428753363. The reversal of 428753331 is 133357824.

428753331 is a `hidden beast` number, since 42 + 87 + 533 + 3 + 1 = 666.

It is not a de Polignac number, because 428753331 - 2¹ = 428753329 is a prime.

It is a super-2 number, since 2×428753331² = 367658837687191122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428753321) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 510610 + ... + 511448.

It is an arithmetic number, because the mean of its divisors is an integer number (23018580).

Almost surely, 2^428753331 is an apocalyptic number.

428753331 is a deficient number, since it is larger than the sum of its proper divisors (215766909).

428753331 is an frugal number, since it uses more digits than its factorization.

428753331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1543 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 428753331 is about 20706.3596752302. The cubic root of 428753331 is about 754.0540942740.

The spelling of 428753331 in words is "four hundred twenty-eight million, seven hundred fifty-three thousand, three hundred thirty-one".