428458736160 has 576 divisors, whose sum is σ = 1878638832000. Its totient is φ = 90399504384.

The previous prime is 428458736129. The next prime is 428458736171. The reversal of 428458736160 is 61637854824.

It is a happy number.

428458736160 is a `hidden beast` number, since 4 + 2 + 8 + 458 + 73 + 61 + 60 = 666.

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 = 428458736097 and 428458736106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2673991 + ... + 2829689.

It is an arithmetic number, because the mean of its divisors is an integer number (3261525750).

Almost surely, 2^428458736160 is an apocalyptic number.

428458736160 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 428458736160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939319416000).

428458736160 is an abundant number, since it is smaller than the sum of its proper divisors (1450180095840).

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

428458736160 is a wasteful number, since it uses less digits than its factorization.

428458736160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155750 (or 155729 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 428458736160 in words is "four hundred twenty-eight billion, four hundred fifty-eight million, seven hundred thirty-six thousand, one hundred sixty".