428640336 has 70 divisors (see below), whose sum is σ = 1245200250. Its totient is φ = 142876224.

The previous prime is 428640313. The next prime is 428640341. The reversal of 428640336 is 633046824.

It is a happy number.

428640336 is a `hidden beast` number, since 4 + 2 + 8 + 640 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 287505936 + 141134400 = 16956^2 + 11880^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 428640336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6711 + ... + 30038.

It is an arithmetic number, because the mean of its divisors is an integer number (17788575).

Almost surely, 2^428640336 is an apocalyptic number.

It is an amenable number.

428640336 is an abundant number, since it is smaller than the sum of its proper divisors (816559914).

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

428640336 is an equidigital number, since it uses as much as digits as its factorization.

428640336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36775 (or 36754 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 428640336 is about 20703.6309858923. The cubic root of 428640336 is about 753.9878465255.

The spelling of 428640336 in words is "four hundred twenty-eight million, six hundred forty thousand, three hundred thirty-six".