428786631 has 144 divisors (see below), whose sum is σ = 855069696. Its totient is φ = 201636864.

The previous prime is 428786627. The next prime is 428786681. The reversal of 428786631 is 136687824.

428786631 is a `hidden beast` number, since 4 + 2 + 8 + 7 + 8 + 6 + 631 = 666.

It is not a de Polignac number, because 428786631 - 2² = 428786627 is a prime.

It is a super-2 number, since 2×428786631² = 367715949848660322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428786681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4162926 + ... + 4163028.

It is an arithmetic number, because the mean of its divisors is an integer number (5937984).

Almost surely, 2^428786631 is an apocalyptic number.

428786631 is a deficient number, since it is larger than the sum of its proper divisors (426283065).

428786631 is a wasteful number, since it uses less digits than its factorization.

428786631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 428786631 is about 20707.1637603994. The cubic root of 428786631 is about 754.0736154839.

The spelling of 428786631 in words is "four hundred twenty-eight million, seven hundred eighty-six thousand, six hundred thirty-one".