428603313600 has 2016 divisors, whose sum is σ = 2016449510400. Its totient is φ = 87555686400.

The previous prime is 428603313583. The next prime is 428603313631. The reversal of 428603313600 is 6313306824.

428603313600 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 0 + 33 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1839499084 + ... + 1839499316.

Almost surely, 2^428603313600 is an apocalyptic number.

428603313600 is a gapful number since it is divisible by the number (40) 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 428603313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008224755200).

428603313600 is an abundant number, since it is smaller than the sum of its proper divisors (1587846196800).

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

428603313600 is a wasteful number, since it uses less digits than its factorization.

428603313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 428603313600 in words is "four hundred twenty-eight billion, six hundred three million, three hundred thirteen thousand, six hundred".