428909644800 has 1320 divisors, whose sum is σ = 1955570106336. Its totient is φ = 90455408640.

The previous prime is 428909644769. The next prime is 428909644841. The reversal of 428909644800 is 8446909824.

428909644800 is a `hidden beast` number, since 4 + 28 + 90 + 96 + 448 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 188696464 + ... + 188698736.

Almost surely, 2^428909644800 is an apocalyptic number.

428909644800 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 428909644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977785053168).

428909644800 is an abundant number, since it is smaller than the sum of its proper divisors (1526660461536).

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

428909644800 is a wasteful number, since it uses less digits than its factorization.

428909644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 428909644800 in words is "four hundred twenty-eight billion, nine hundred nine million, six hundred forty-four thousand, eight hundred".