428638392 has 192 divisors, whose sum is σ = 1482324480. Its totient is φ = 113000832.

The previous prime is 428638351. The next prime is 428638393. The reversal of 428638392 is 293836824.

428638392 is a `hidden beast` number, since 4 + 2 + 8 + 638 + 3 + 9 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428638393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175693 + ... + 178115.

It is an arithmetic number, because the mean of its divisors is an integer number (7720440).

Almost surely, 2^428638392 is an apocalyptic number.

428638392 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428638392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741162240).

428638392 is an abundant number, since it is smaller than the sum of its proper divisors (1053686088).

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

428638392 is a wasteful number, since it uses less digits than its factorization.

428638392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2448 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 428638392 is about 20703.5840375525. The cubic root of 428638392 is about 753.9867066774.

The spelling of 428638392 in words is "four hundred twenty-eight million, six hundred thirty-eight thousand, three hundred ninety-two".