428906741760 has 1280 divisors, whose sum is σ = 1857461126400. Its totient is φ = 92876046336.

The previous prime is 428906741759. The next prime is 428906741789. The reversal of 428906741760 is 67147609824.

428906741760 is a `hidden beast` number, since 4 + 28 + 90 + 67 + 417 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 428906741697 and 428906741706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22574039031 + ... + 22574039049.

It is an arithmetic number, because the mean of its divisors is an integer number (1451141505).

Almost surely, 2^428906741760 is an apocalyptic number.

428906741760 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 428906741760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928730563200).

428906741760 is an abundant number, since it is smaller than the sum of its proper divisors (1428554384640).

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

428906741760 is an frugal number, since it uses more digits than its factorization.

428906741760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 428906741760 in words is "four hundred twenty-eight billion, nine hundred six million, seven hundred forty-one thousand, seven hundred sixty".