428413769280 has 1120 divisors, whose sum is σ = 1847698575360. Its totient is φ = 92042956800.

The previous prime is 428413769239. The next prime is 428413769281. The reversal of 428413769280 is 82967314824.

428413769280 is a `hidden beast` number, since 4 + 284 + 13 + 76 + 9 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is not an unprimeable number, because it can be changed into a prime (428413769281) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 520550949 + ... + 520551771.

Almost surely, 2^428413769280 is an apocalyptic number.

428413769280 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 428413769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923849287680).

428413769280 is an abundant number, since it is smaller than the sum of its proper divisors (1419284806080).

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

428413769280 is a wasteful number, since it uses less digits than its factorization.

428413769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 428413769280 in words is "four hundred twenty-eight billion, four hundred thirteen million, seven hundred sixty-nine thousand, two hundred eighty".