428631588 has 336 divisors, whose sum is σ = 1480743936. Its totient is φ = 105209280.

The previous prime is 428631563. The next prime is 428631601. The reversal of 428631588 is 885136824.

428631588 is a `hidden beast` number, since 4 + 2 + 8 + 63 + 1 + 588 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5164195 + ... + 5164277.

It is an arithmetic number, because the mean of its divisors is an integer number (4406976).

Almost surely, 2^428631588 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428631588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740371968).

428631588 is an abundant number, since it is smaller than the sum of its proper divisors (1052112348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428631588 is a wasteful number, since it uses less digits than its factorization.

428631588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 428631588 is about 20703.4197175249. The cubic root of 428631588 is about 753.9827171820.

The spelling of 428631588 in words is "four hundred twenty-eight million, six hundred thirty-one thousand, five hundred eighty-eight".