428220116800 has 84 divisors (see below), whose sum is σ = 1204216174240. Its totient is φ = 146818321920.

The previous prime is 428220116789. The next prime is 428220116851. The reversal of 428220116800 is 8611022824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19105770 + ... + 19128169.

Almost surely, 2^428220116800 is an apocalyptic number.

428220116800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428220116800 is an abundant number, since it is smaller than the sum of its proper divisors (775996057440).

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

428220116800 is a wasteful number, since it uses less digits than its factorization.

428220116800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38233968 (or 38233953 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The spelling of 428220116800 in words is "four hundred twenty-eight billion, two hundred twenty million, one hundred sixteen thousand, eight hundred".